352964551680 has 1056 divisors, whose sum is σ = 1381966709760. Its totient is φ = 82705121280.

The previous prime is 352964551663. The next prime is 352964551691. The reversal of 352964551680 is 86155469253.

352964551680 is a `hidden beast` number, since 3 + 5 + 2 + 9 + 6 + 4 + 551 + 6 + 80 = 666.

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, 1541329806 + ... + 1541330034.

Almost surely, 2^352964551680 is an apocalyptic number.

352964551680 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 352964551680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690983354880).

352964551680 is an abundant number, since it is smaller than the sum of its proper divisors (1029002158080).

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

352964551680 is a wasteful number, since it uses less digits than its factorization.

352964551680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 352964551680 in words is "three hundred fifty-two billion, nine hundred sixty-four million, five hundred fifty-one thousand, six hundred eighty".