396554680368 has 960 divisors, whose sum is σ = 1555810421760. Its totient is φ = 94267514880.

The previous prime is 396554680363. The next prime is 396554680369. The reversal of 396554680368 is 863086455693.

396554680368 is a `hidden beast` number, since 3 + 9 + 6 + 5 + 546 + 80 + 3 + 6 + 8 = 666.

It is a super-2 number, since 2×396554680368² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (396554680363) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 230152755 + ... + 230154477.

It is an arithmetic number, because the mean of its divisors is an integer number (1620635856).

Almost surely, 2^396554680368 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 396554680368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777905210880).

396554680368 is an abundant number, since it is smaller than the sum of its proper divisors (1159255741392).

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

396554680368 is a wasteful number, since it uses less digits than its factorization.

396554680368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 396554680368 in words is "three hundred ninety-six billion, five hundred fifty-four million, six hundred eighty thousand, three hundred sixty-eight".