7630238880 has 672 divisors, whose sum is σ = 31135285440. Its totient is φ = 1746800640.

The previous prime is 7630238831. The next prime is 7630238927. The reversal of 7630238880 is 888320367.

7630238880 is a `hidden beast` number, since 7 + 630 + 2 + 3 + 8 + 8 + 8 + 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 111 ways as a sum of consecutive naturals, for example, 24377604 + ... + 24377916.

It is an arithmetic number, because the mean of its divisors is an integer number (46332270).

Almost surely, 2^7630238880 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 7630238880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15567642720).

7630238880 is an abundant number, since it is smaller than the sum of its proper divisors (23505046560).

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

7630238880 is a wasteful number, since it uses less digits than its factorization.

7630238880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 7630238880 is about 87351.2385716425. The cubic root of 7630238880 is about 1968.6992607332.

It can be divided in two parts, 763023 and 8880, that added together give a triangular number (771903 = T₁₂₄₂).

The spelling of 7630238880 in words is "seven billion, six hundred thirty million, two hundred thirty-eight thousand, eight hundred eighty".