920556564480 has 312 divisors, whose sum is σ = 3646717337952. Its totient is φ = 210412634112.

The previous prime is 920556564479. The next prime is 920556564491. The reversal of 920556564480 is 84465655029.

920556564480 is a `hidden beast` number, since 9 + 2 + 0 + 556 + 5 + 6 + 4 + 4 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 933502 + ... + 1646978.

It is an arithmetic number, because the mean of its divisors is an integer number (11688196596).

Almost surely, 2^920556564480 is an apocalyptic number.

920556564480 is a gapful number since it is divisible by the number (90) 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 920556564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823358668976).

920556564480 is an abundant number, since it is smaller than the sum of its proper divisors (2726160773472).

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

920556564480 is a wasteful number, since it uses less digits than its factorization.

920556564480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713519 (or 713494 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 920556564480 in words is "nine hundred twenty billion, five hundred fifty-six million, five hundred sixty-four thousand, four hundred eighty".