7657872768 has 384 divisors, whose sum is σ = 28723705920. Its totient is φ = 1900412928.

The previous prime is 7657872763. The next prime is 7657872769. The reversal of 7657872768 is 8672787567.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7657872763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1779996 + ... + 1784292.

Almost surely, 2^7657872768 is an apocalyptic number.

7657872768 is a gapful number since it is divisible by the number (78) 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 7657872768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14361852960).

7657872768 is an abundant number, since it is smaller than the sum of its proper divisors (21065833152).

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

7657872768 is a wasteful number, since it uses less digits than its factorization.

7657872768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4354 (or 4339 counting only the distinct ones).

The product of its digits is 55319040, while the sum is 63.

The square root of 7657872768 is about 87509.2724686933. The cubic root of 7657872768 is about 1971.0730296267.

The spelling of 7657872768 in words is "seven billion, six hundred fifty-seven million, eight hundred seventy-two thousand, seven hundred sixty-eight".