320561962560 has 896 divisors, whose sum is σ = 1377247334400. Its totient is φ = 68558192640.

The previous prime is 320561962537. The next prime is 320561962619. The reversal of 320561962560 is 65269165023.

320561962560 is a `hidden beast` number, since 3 + 2 + 0 + 5 + 6 + 19 + 625 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 95375280 + ... + 95378640.

It is an arithmetic number, because the mean of its divisors is an integer number (1537106400).

Almost surely, 2^320561962560 is an apocalyptic number.

320561962560 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 320561962560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688623667200).

320561962560 is an abundant number, since it is smaller than the sum of its proper divisors (1056685371840).

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

320561962560 is a wasteful number, since it uses less digits than its factorization.

320561962560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3496 (or 3480 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 320561962560 in words is "three hundred twenty billion, five hundred sixty-one million, nine hundred sixty-two thousand, five hundred sixty".