7764664320 has 896 divisors, whose sum is σ = 33971788800. Its totient is φ = 1642070016.

The previous prime is 7764664249. The next prime is 7764664351. The reversal of 7764664320 is 234664677.

It is a tau number, because it is divible by the number of its divisors (896).

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 63 ways as a sum of consecutive naturals, for example, 131604451 + ... + 131604509.

Almost surely, 2^7764664320 is an apocalyptic number.

7764664320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7764664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16985894400).

7764664320 is an abundant number, since it is smaller than the sum of its proper divisors (26207124480).

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

7764664320 is a wasteful number, since it uses less digits than its factorization.

7764664320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The square root of 7764664320 is about 88117.3326877295. The cubic root of 7764664320 is about 1980.1931859255.

The spelling of 7764664320 in words is "seven billion, seven hundred sixty-four million, six hundred sixty-four thousand, three hundred twenty".