7630687620 has 240 divisors, whose sum is σ = 24480603840. Its totient is φ = 1989225216.

The previous prime is 7630687619. The next prime is 7630687627. The reversal of 7630687620 is 267860367.

7630687620 is a `hidden beast` number, since 7 + 630 + 6 + 8 + 7 + 6 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7630687627) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24855507 + ... + 24855813.

It is an arithmetic number, because the mean of its divisors is an integer number (102002516).

Almost surely, 2^7630687620 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 7630687620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12240301920).

7630687620 is an abundant number, since it is smaller than the sum of its proper divisors (16849916220).

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

7630687620 is a wasteful number, since it uses less digits than its factorization.

7630687620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 7630687620 is about 87353.8071293976. The cubic root of 7630687620 is about 1968.7378535305.

The spelling of 7630687620 in words is "seven billion, six hundred thirty million, six hundred eighty-seven thousand, six hundred twenty".