407527987968 has 720 divisors, whose sum is σ = 1344492835840. Its totient is φ = 122276044800.

The previous prime is 407527987963. The next prime is 407527987991. The reversal of 407527987968 is 869789725704.

407527987968 is a `hidden beast` number, since 4 + 0 + 7 + 527 + 9 + 8 + 7 + 96 + 8 = 666.

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 = 407527987896 and 407527987905.

It is not an unprimeable number, because it can be changed into a prime (407527987963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 745023471 + ... + 745024017.

Almost surely, 2^407527987968 is an apocalyptic number.

407527987968 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 407527987968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672246417920).

407527987968 is an abundant number, since it is smaller than the sum of its proper divisors (936964847872).

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

407527987968 is a wasteful number, since it uses less digits than its factorization.

407527987968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 72.

The spelling of 407527987968 in words is "four hundred seven billion, five hundred twenty-seven million, nine hundred eighty-seven thousand, nine hundred sixty-eight".