7457902920 has 192 divisors, whose sum is σ = 26144052480. Its totient is φ = 1832882688.

The previous prime is 7457902913. The next prime is 7457902937. The reversal of 7457902920 is 292097547.

7457902920 is a `hidden beast` number, since 74 + 579 + 0 + 2 + 9 + 2 + 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5722989 + ... + 5724291.

It is an arithmetic number, because the mean of its divisors is an integer number (136166940).

Almost surely, 2^7457902920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7457902920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13072026240).

7457902920 is an abundant number, since it is smaller than the sum of its proper divisors (18686149560).

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

7457902920 is a wasteful number, since it uses less digits than its factorization.

7457902920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2556 (or 2549 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 7457902920 is about 86359.1507600671. The cubic root of 7457902920 is about 1953.7646248612.

The spelling of 7457902920 in words is "seven billion, four hundred fifty-seven million, nine hundred two thousand, nine hundred twenty".