6357616640 has 192 divisors, whose sum is σ = 16039296000. Its totient is φ = 2415329280.

The previous prime is 6357616637. The next prime is 6357616651. The reversal of 6357616640 is 466167536.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 6357616591 and 6357616600.

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 15 ways as a sum of consecutive naturals, for example, 23459705 + ... + 23459975.

It is an arithmetic number, because the mean of its divisors is an integer number (83538000).

Almost surely, 2^6357616640 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 6357616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8019648000).

6357616640 is an abundant number, since it is smaller than the sum of its proper divisors (9681679360).

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

6357616640 is a wasteful number, since it uses less digits than its factorization.

6357616640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 44.

The square root of 6357616640 is about 79734.6639799780. The cubic root of 6357616640 is about 1852.5279917433.

The spelling of 6357616640 in words is "six billion, three hundred fifty-seven million, six hundred sixteen thousand, six hundred forty".