352070476560 has 640 divisors, whose sum is σ = 1344353955840. Its totient is φ = 84680640000.

The previous prime is 352070476553. The next prime is 352070476607. The reversal of 352070476560 is 65674070253.

352070476560 is a `hidden beast` number, since 3 + 52 + 0 + 70 + 476 + 5 + 60 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 434118555 + ... + 434119365.

It is an arithmetic number, because the mean of its divisors is an integer number (2100553056).

Almost surely, 2^352070476560 is an apocalyptic number.

352070476560 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 352070476560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672176977920).

352070476560 is an abundant number, since it is smaller than the sum of its proper divisors (992283479280).

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

352070476560 is a wasteful number, since it uses less digits than its factorization.

352070476560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 352070476560 in words is "three hundred fifty-two billion, seventy million, four hundred seventy-six thousand, five hundred sixty".