357728496768 has 256 divisors, whose sum is σ = 1102128768000. Its totient is φ = 114096660480.

The previous prime is 357728496751. The next prime is 357728496773. The reversal of 357728496768 is 867694827753.

357728496768 is a `hidden beast` number, since 3 + 5 + 7 + 72 + 8 + 496 + 7 + 68 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 357728496696 and 357728496705.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9516346 + ... + 9553862.

It is an arithmetic number, because the mean of its divisors is an integer number (4305190500).

Almost surely, 2^357728496768 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 357728496768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551064384000).

357728496768 is an abundant number, since it is smaller than the sum of its proper divisors (744400271232).

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

357728496768 is a wasteful number, since it uses less digits than its factorization.

357728496768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37660 (or 37642 counting only the distinct ones).

The product of its digits is 853493760, while the sum is 72.

The spelling of 357728496768 in words is "three hundred fifty-seven billion, seven hundred twenty-eight million, four hundred ninety-six thousand, seven hundred sixty-eight".