357896618311680 has 1632 divisors, whose sum is σ = 1506418858683648. Its totient is φ = 79804602777600.

The previous prime is 357896618311663. The next prime is 357896618311723. The reversal of 357896618311680 is 86113816698753.

357896618311680 is a `hidden beast` number, since 3 + 578 + 9 + 6 + 6 + 1 + 8 + 31 + 16 + 8 + 0 = 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 = 357896618311599 and 357896618311608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22852723050 + ... + 22852738710.

Almost surely, 2^{357896618311680} is an apocalyptic number.

357896618311680 is a gapful number since it is divisible by the number (30) 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 357896618311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753209429341824).

357896618311680 is an abundant number, since it is smaller than the sum of its proper divisors (1148522240371968).

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

357896618311680 is an frugal number, since it uses more digits than its factorization.

357896618311680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15761 (or 15719 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 357896618311680 in words is "three hundred fifty-seven trillion, eight hundred ninety-six billion, six hundred eighteen million, three hundred eleven thousand, six hundred eighty".