352620871680 has 960 divisors, whose sum is σ = 1443843527400. Its totient is φ = 73271869440.

The previous prime is 352620871679. The next prime is 352620871751. The reversal of 352620871680 is 86178026253.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 32056442875 + ... + 32056442885.

Almost surely, 2^352620871680 is an apocalyptic number.

352620871680 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 352620871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721921763700).

352620871680 is an abundant number, since it is smaller than the sum of its proper divisors (1091222655720).

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

352620871680 is an frugal number, since it uses more digits than its factorization.

352620871680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 352620871680 in words is "three hundred fifty-two billion, six hundred twenty million, eight hundred seventy-one thousand, six hundred eighty".