7642560000 has 400 divisors, whose sum is σ = 26845156800. Its totient is φ = 1926144000.

The previous prime is 7642559993. The next prime is 7642560031. The reversal of 7642560000 is 652467.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 7642560000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18239791 + ... + 18240209.

It is an arithmetic number, because the mean of its divisors is an integer number (67112892).

Almost surely, 2^7642560000 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 7642560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13422578400).

7642560000 is an abundant number, since it is smaller than the sum of its proper divisors (19202596800).

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

7642560000 is an equidigital number, since it uses as much as digits as its factorization.

7642560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 7642560000 is about 87421.7364275041. The cubic root of 7642560000 is about 1969.7583597386.

The spelling of 7642560000 in words is "seven billion, six hundred forty-two million, five hundred sixty thousand".