396372824064 has 312 divisors, whose sum is σ = 1353645970560. Its totient is φ = 109342162944.

The previous prime is 396372824059. The next prime is 396372824083. The reversal of 396372824064 is 460428273693.

396372824064 is a `hidden beast` number, since 3 + 96 + 3 + 72 + 82 + 406 + 4 = 666.

It is a super-2 number, since 2×396372824064² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 396372824064.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7456909 + ... + 7509875.

It is an arithmetic number, because the mean of its divisors is an integer number (4338608880).

Almost surely, 2^396372824064 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 396372824064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676822985280).

396372824064 is an abundant number, since it is smaller than the sum of its proper divisors (957273146496).

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

396372824064 is a wasteful number, since it uses less digits than its factorization.

396372824064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53033 (or 53008 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 396372824064 in words is "three hundred ninety-six billion, three hundred seventy-two million, eight hundred twenty-four thousand, sixty-four".