352677106080 has 768 divisors, whose sum is σ = 1392261696000. Its totient is φ = 82777669632.

The previous prime is 352677106079. The next prime is 352677106099. The reversal of 352677106080 is 80601776253.

352677106080 is a `hidden beast` number, since 3 + 5 + 26 + 7 + 7 + 10 + 608 + 0 = 666.

It is a super-2 number, since 2×352677106080² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 135175816 + ... + 135178424.

It is an arithmetic number, because the mean of its divisors is an integer number (1812840750).

Almost surely, 2^352677106080 is an apocalyptic number.

352677106080 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 352677106080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696130848000).

352677106080 is an abundant number, since it is smaller than the sum of its proper divisors (1039584589920).

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

352677106080 is a wasteful number, since it uses less digits than its factorization.

352677106080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2758 (or 2744 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 352677106080 in words is "three hundred fifty-two billion, six hundred seventy-seven million, one hundred six thousand, eighty".