320925472956 has 360 divisors, whose sum is σ = 951675648000. Its totient is φ = 94177702080.

The previous prime is 320925472937. The next prime is 320925472963. The reversal of 320925472956 is 659274529023.

320925472956 is a `hidden beast` number, since 3 + 2 + 0 + 9 + 2 + 547 + 2 + 95 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 214092295 + ... + 214093793.

Almost surely, 2^320925472956 is an apocalyptic number.

320925472956 is a gapful number since it is divisible by the number (36) 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 320925472956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475837824000).

320925472956 is an abundant number, since it is smaller than the sum of its proper divisors (630750175044).

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

320925472956 is a wasteful number, since it uses less digits than its factorization.

320925472956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

It can be divided in two parts, 320925 and 472956, that added together give a square (793881 = 891²).

The spelling of 320925472956 in words is "three hundred twenty billion, nine hundred twenty-five million, four hundred seventy-two thousand, nine hundred fifty-six".