356879880806400 has 5376 divisors, whose sum is σ = 1631174312448000. Its totient is φ = 77253378048000.

The previous prime is 356879880806387. The next prime is 356879880806401. The reversal of 356879880806400 is 4608088978653.

356879880806400 is a `hidden beast` number, since 3 + 5 + 68 + 7 + 9 + 8 + 80 + 80 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a super-2 number, since 2×356879880806400² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (356879880806401) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3533464166350 + ... + 3533464166450.

Almost surely, 2^{356879880806400} is an apocalyptic number.

356879880806400 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 356879880806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815587156224000).

356879880806400 is an abundant number, since it is smaller than the sum of its proper divisors (1274294431641600).

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

356879880806400 is an frugal number, since it uses more digits than its factorization.

356879880806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 356879880806400 in words is "three hundred fifty-six trillion, eight hundred seventy-nine billion, eight hundred eighty million, eight hundred six thousand, four hundred".