920942462880 has 576 divisors, whose sum is σ = 3483946432512. Its totient is φ = 219671377920.

The previous prime is 920942462863. The next prime is 920942462929. The reversal of 920942462880 is 88264249029.

920942462880 is a `hidden beast` number, since 9 + 2 + 0 + 9 + 4 + 2 + 4 + 628 + 8 + 0 = 666.

920942462880 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 265936029 + ... + 265939491.

It is an arithmetic number, because the mean of its divisors is an integer number (6048518112).

Almost surely, 2^920942462880 is an apocalyptic number.

920942462880 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 920942462880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741973216256).

920942462880 is an abundant number, since it is smaller than the sum of its proper divisors (2563003969632).

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

920942462880 is a wasteful number, since it uses less digits than its factorization.

920942462880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3761 (or 3750 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 920942462880 in words is "nine hundred twenty billion, nine hundred forty-two million, four hundred sixty-two thousand, eight hundred eighty".