352730564879040 has 1120 divisors, whose sum is σ = 1317978925046784. Its totient is φ = 89376005283840.

The previous prime is 352730564878973. The next prime is 352730564879053. The reversal of 352730564879040 is 40978465037253.

It is a happy number.

352730564879040 is a `hidden beast` number, since 3 + 5 + 27 + 3 + 0 + 5 + 6 + 487 + 90 + 40 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 56919565222 + ... + 56919571418.

Almost surely, 2^{352730564879040} is an apocalyptic number.

352730564879040 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 352730564879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658989462523392).

352730564879040 is an abundant number, since it is smaller than the sum of its proper divisors (965248360167744).

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

352730564879040 is a wasteful number, since it uses less digits than its factorization.

352730564879040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6867 (or 6848 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 352730564879040 in words is "three hundred fifty-two trillion, seven hundred thirty billion, five hundred sixty-four million, eight hundred seventy-nine thousand, forty".