7664521400 has 96 divisors (see below), whose sum is σ = 18965683440. Its totient is φ = 2870568960.

The previous prime is 7664521391. The next prime is 7664521433. The reversal of 7664521400 is 41254667.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 664079 + ... + 675521.

Almost surely, 2^7664521400 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 7664521400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9482841720).

7664521400 is an abundant number, since it is smaller than the sum of its proper divisors (11301162040).

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

7664521400 is a wasteful number, since it uses less digits than its factorization.

7664521400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11673 (or 11664 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 7664521400 is about 87547.2523840697. The cubic root of 7664521400 is about 1971.6432988923.

The spelling of 7664521400 in words is "seven billion, six hundred sixty-four million, five hundred twenty-one thousand, four hundred".