7640899200 has 576 divisors, whose sum is σ = 30188246400. Its totient is φ = 1824768000.

The previous prime is 7640899171. The next prime is 7640899213. The reversal of 7640899200 is 29980467.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28195065 + ... + 28195335.

It is an arithmetic number, because the mean of its divisors is an integer number (52410150).

Almost surely, 2^7640899200 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 7640899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15094123200).

7640899200 is an abundant number, since it is smaller than the sum of its proper divisors (22547347200).

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

7640899200 is a wasteful number, since it uses less digits than its factorization.

7640899200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 7640899200 is about 87412.2371295919. The cubic root of 7640899200 is about 1969.6156670772.

The spelling of 7640899200 in words is "seven billion, six hundred forty million, eight hundred ninety-nine thousand, two hundred".