7656337920 has 640 divisors, whose sum is σ = 31055726592. Its totient is φ = 1576058880.

The previous prime is 7656337903. The next prime is 7656337979. The reversal of 7656337920 is 297336567.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7656337920.

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, 71554507 + ... + 71554613.

Almost surely, 2^7656337920 is an apocalyptic number.

7656337920 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 7656337920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15527863296).

7656337920 is an abundant number, since it is smaller than the sum of its proper divisors (23399388672).

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

7656337920 is a wasteful number, since it uses less digits than its factorization.

7656337920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 48.

The square root of 7656337920 is about 87500.5023985577. The cubic root of 7656337920 is about 1970.9413351066.

The spelling of 7656337920 in words is "seven billion, six hundred fifty-six million, three hundred thirty-seven thousand, nine hundred twenty".