352677347566560 has 144 divisors (see below), whose sum is σ = 1229118075372096. Its totient is φ = 92046286439424.

The previous prime is 352677347566559. The next prime is 352677347566589. The reversal of 352677347566560 is 65665743776253.

It is a happy number.

352677347566560 is a `hidden beast` number, since 3 + 5 + 2 + 6 + 7 + 7 + 3 + 4 + 7 + 56 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×352677347566560² (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2605409179 + ... + 2605544538.

It is an arithmetic number, because the mean of its divisors is an integer number (8535542190084).

Almost surely, 2^{352677347566560} is an apocalyptic number.

352677347566560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

352677347566560 is an abundant number, since it is smaller than the sum of its proper divisors (876440727805536).

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

352677347566560 is a wasteful number, since it uses less digits than its factorization.

352677347566560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5210953785 (or 5210953774 counting only the distinct ones).

The product of its (nonzero) digits is 4000752000, while the sum is 72.

The spelling of 352677347566560 in words is "three hundred fifty-two trillion, six hundred seventy-seven billion, three hundred forty-seven million, five hundred sixty-six thousand, five hundred sixty".