920496484514880 has 7168 divisors, whose sum is σ = 4494692966400000. Its totient is φ = 175505628856320.

The previous prime is 920496484514837. The next prime is 920496484514891. The reversal of 920496484514880 is 88415484694029.

920496484514880 is a `hidden beast` number, since 9 + 2 + 0 + 4 + 9 + 64 + 84 + 5 + 1 + 488 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 920496484514799 and 920496484514808.

It is an unprimeable number.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 2186452457070 + ... + 2186452457490.

It is an arithmetic number, because the mean of its divisors is an integer number (627049800000).

Almost surely, 2^{920496484514880} is an apocalyptic number.

920496484514880 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 920496484514880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2247346483200000).

920496484514880 is an abundant number, since it is smaller than the sum of its proper divisors (3574196481885120).

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

920496484514880 is a wasteful number, since it uses less digits than its factorization.

920496484514880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 637009920, while the sum is 72.

The spelling of 920496484514880 in words is "nine hundred twenty trillion, four hundred ninety-six billion, four hundred eighty-four million, five hundred fourteen thousand, eight hundred eighty".