396375369462072 has 768 divisors, whose sum is σ = 1553261275238400. Its totient is φ = 91969395840000.

The previous prime is 396375369462053. The next prime is 396375369462073. The reversal of 396375369462072 is 270264963573693.

396375369462072 is a `hidden beast` number, since 3 + 9 + 6 + 37 + 5 + 3 + 69 + 462 + 0 + 72 = 666.

It is a super-2 number, since 2×396375369462072² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396375369462073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42694822 + ... + 51142922.

It is an arithmetic number, because the mean of its divisors is an integer number (2022475618800).

Almost surely, 2^{396375369462072} 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 396375369462072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776630637619200).

396375369462072 is an abundant number, since it is smaller than the sum of its proper divisors (1156885905776328).

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

396375369462072 is a wasteful number, since it uses less digits than its factorization.

396375369462072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8448185 (or 8448168 counting only the distinct ones).

The product of its (nonzero) digits is 1851776640, while the sum is 72.

The spelling of 396375369462072 in words is "three hundred ninety-six trillion, three hundred seventy-five billion, three hundred sixty-nine million, four hundred sixty-two thousand, seventy-two".