396479160709632 has 3840 divisors, whose sum is σ = 1662797894123520. Its totient is φ = 90654474240000.

The previous prime is 396479160709579. The next prime is 396479160709741. The reversal of 396479160709632 is 236907061974693.

396479160709632 is a `hidden beast` number, since 3 + 9 + 6 + 4 + 7 + 9 + 1 + 607 + 0 + 9 + 6 + 3 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 344464952257 + ... + 344464953407.

It is an arithmetic number, because the mean of its divisors is an integer number (433020284928).

Almost surely, 2^{396479160709632} is an apocalyptic number.

396479160709632 is a gapful number since it is divisible by the number (32) 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 396479160709632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831398947061760).

396479160709632 is an abundant number, since it is smaller than the sum of its proper divisors (1266318733413888).

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

396479160709632 is a wasteful number, since it uses less digits than its factorization.

396479160709632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 555532992, while the sum is 72.

The spelling of 396479160709632 in words is "three hundred ninety-six trillion, four hundred seventy-nine billion, one hundred sixty million, seven hundred nine thousand, six hundred thirty-two".