7610633640 has 384 divisors, whose sum is σ = 26637811200. Its totient is φ = 1953020160.

The previous prime is 7610633617. The next prime is 7610633659. The reversal of 7610633640 is 463360167.

It is a happy number.

7610633640 is a `hidden beast` number, since 7 + 6 + 1 + 0 + 6 + 3 + 3 + 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 = 7610633595 and 7610633604.

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, 54752691 + ... + 54752829.

It is an arithmetic number, because the mean of its divisors is an integer number (69369300).

Almost surely, 2^7610633640 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 7610633640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13318905600).

7610633640 is an abundant number, since it is smaller than the sum of its proper divisors (19027177560).

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

7610633640 is a wasteful number, since it uses less digits than its factorization.

7610633640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 7610633640 is about 87238.9456607541. The cubic root of 7610633640 is about 1967.0116802857.

It can be divided in two parts, 76106 and 33640, that added together give a triangular number (109746 = T₄₆₈).

The spelling of 7610633640 in words is "seven billion, six hundred ten million, six hundred thirty-three thousand, six hundred forty".