7616600640 has 224 divisors, whose sum is σ = 29312737920. Its totient is φ = 1846425600.

The previous prime is 7616600633. The next prime is 7616600653. The reversal of 7616600640 is 460066167.

7616600640 is a `hidden beast` number, since 7 + 6 + 1 + 6 + 6 + 0 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7616600595 and 7616600604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54970 + ... + 135110.

Almost surely, 2^7616600640 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 7616600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14656368960).

7616600640 is an abundant number, since it is smaller than the sum of its proper divisors (21696137280).

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

7616600640 is a wasteful number, since it uses less digits than its factorization.

7616600640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80178 (or 80162 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 7616600640 is about 87273.1381353965. The cubic root of 7616600640 is about 1967.5256143916.

The spelling of 7616600640 in words is "seven billion, six hundred sixteen million, six hundred thousand, six hundred forty".