407798765568 has 192 divisors, whose sum is σ = 1213451366400. Its totient is φ = 135319265280.

The previous prime is 407798765567. The next prime is 407798765587. The reversal of 407798765568 is 865567897704.

407798765568 is a `hidden beast` number, since 407 + 7 + 98 + 76 + 5 + 5 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 407798765496 and 407798765505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407798765567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12314473 + ... + 12347543.

It is an arithmetic number, because the mean of its divisors is an integer number (6320059200).

Almost surely, 2^407798765568 is an apocalyptic number.

407798765568 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 407798765568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606725683200).

407798765568 is an abundant number, since it is smaller than the sum of its proper divisors (805652600832).

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

407798765568 is a wasteful number, since it uses less digits than its factorization.

407798765568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33325 (or 33299 counting only the distinct ones).

The product of its (nonzero) digits is 711244800, while the sum is 72.

The spelling of 407798765568 in words is "four hundred seven billion, seven hundred ninety-eight million, seven hundred sixty-five thousand, five hundred sixty-eight".