427901196235968 has 672 divisors, whose sum is σ = 1567872137954304. Its totient is φ = 112678396489728.

The previous prime is 427901196235943. The next prime is 427901196235969. The reversal of 427901196235968 is 869532691109724.

427901196235968 is a `hidden beast` number, since 4 + 2 + 7 + 9 + 0 + 1 + 1 + 9 + 6 + 23 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×427901196235968² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 427901196235896 and 427901196235905.

It is not an unprimeable number, because it can be changed into a prime (427901196235969) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 915421446 + ... + 915888762.

It is an arithmetic number, because the mean of its divisors is an integer number (2333143062432).

It is a 2-persistent number, because it is pandigital, and so is 2⋅427901196235968 = 855802392471936, but 3⋅427901196235968 = 1283703588707904 is not.

Almost surely, 2^{427901196235968} is an apocalyptic number.

427901196235968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427901196235968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783936068977152).

427901196235968 is an abundant number, since it is smaller than the sum of its proper divisors (1139970941718336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

427901196235968 is a wasteful number, since it uses less digits than its factorization.

427901196235968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468011 (or 467989 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 427901196235968 in words is "four hundred twenty-seven trillion, nine hundred one billion, one hundred ninety-six million, two hundred thirty-five thousand, nine hundred sixty-eight".