7612646400 has 792 divisors, whose sum is σ = 30093847680. Its totient is φ = 1831403520.

The previous prime is 7612646389. The next prime is 7612646407. The reversal of 7612646400 is 46462167.

7612646400 is a `hidden beast` number, since 7 + 6 + 1 + 2 + 6 + 4 + 640 + 0 = 666.

It is a super-2 number, since 2×7612646400² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (7612646407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 161971177 + ... + 161971223.

Almost surely, 2^7612646400 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 7612646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15046923840).

7612646400 is an abundant number, since it is smaller than the sum of its proper divisors (22481201280).

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

7612646400 is a wasteful number, since it uses less digits than its factorization.

7612646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 7612646400 is about 87250.4808009675. The cubic root of 7612646400 is about 1967.1850681029.

The spelling of 7612646400 in words is "seven billion, six hundred twelve million, six hundred forty-six thousand, four hundred".