356875920960 has 672 divisors, whose sum is σ = 1283527918080. Its totient is φ = 83865600000.

The previous prime is 356875920943. The next prime is 356875920997. The reversal of 356875920960 is 69029578653.

356875920960 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×356875920960² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 356875920894 and 356875920903.

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, 475200585 + ... + 475201335.

Almost surely, 2^356875920960 is an apocalyptic number.

356875920960 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 356875920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641763959040).

356875920960 is an abundant number, since it is smaller than the sum of its proper divisors (926651997120).

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

356875920960 is a wasteful number, since it uses less digits than its factorization.

356875920960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 60.

The spelling of 356875920960 in words is "three hundred fifty-six billion, eight hundred seventy-five million, nine hundred twenty thousand, nine hundred sixty".