352664064000 has 832 divisors, whose sum is σ = 1322365524480. Its totient is φ = 92720332800.

The previous prime is 352664063989. The next prime is 352664064007. The reversal of 352664064000 is 460466253.

352664064000 is a `hidden beast` number, since 3 + 5 + 2 + 6 + 6 + 4 + 0 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (352664064007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1340927869 + ... + 1340928131.

It is an arithmetic number, because the mean of its divisors is an integer number (1589381640).

Almost surely, 2^352664064000 is an apocalyptic number.

352664064000 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 352664064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661182762240).

352664064000 is an abundant number, since it is smaller than the sum of its proper divisors (969701460480).

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

352664064000 is an equidigital number, since it uses as much as digits as its factorization.

352664064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 352664064000 in words is "three hundred fifty-two billion, six hundred sixty-four million, sixty-four thousand".