396740583622656 has 5760 divisors, whose sum is σ = 1661687972904960. Its totient is φ = 93041159307264.

The previous prime is 396740583622637. The next prime is 396740583622709. The reversal of 396740583622656 is 656226385047693.

396740583622656 is a `hidden beast` number, since 3 + 9 + 67 + 405 + 83 + 6 + 22 + 65 + 6 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3123941603265 + ... + 3123941603391.

It is an arithmetic number, because the mean of its divisors is an integer number (288487495296).

Almost surely, 2^{396740583622656} is an apocalyptic number.

396740583622656 is a gapful number since it is divisible by the number (36) 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 396740583622656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830843986452480).

396740583622656 is an abundant number, since it is smaller than the sum of its proper divisors (1264947389282304).

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

396740583622656 is a wasteful number, since it uses less digits than its factorization.

396740583622656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 2351462400, while the sum is 72.

The spelling of 396740583622656 in words is "three hundred ninety-six trillion, seven hundred forty billion, five hundred eighty-three million, six hundred twenty-two thousand, six hundred fifty-six".