396011279664 has 960 divisors, whose sum is σ = 1560550118400. Its totient is φ = 93879336960.

The previous prime is 396011279641. The next prime is 396011279681. The reversal of 396011279664 is 466972110693.

396011279664 is a `hidden beast` number, since 3 + 9 + 601 + 1 + 27 + 9 + 6 + 6 + 4 = 666.

It is a super-2 number, since 2×396011279664² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 396011279664.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 377512612 + ... + 377513660.

It is an arithmetic number, because the mean of its divisors is an integer number (1625573040).

Almost surely, 2^396011279664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396011279664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780275059200).

396011279664 is an abundant number, since it is smaller than the sum of its proper divisors (1164538838736).

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

396011279664 is a wasteful number, since it uses less digits than its factorization.

396011279664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 396011279664 in words is "three hundred ninety-six billion, eleven million, two hundred seventy-nine thousand, six hundred sixty-four".