7685959680 has 936 divisors, whose sum is σ = 33212473632. Its totient is φ = 1634992128.

The previous prime is 7685959669. The next prime is 7685959733. The reversal of 7685959680 is 869595867.

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

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, 207728622 + ... + 207728658.

It is an arithmetic number, because the mean of its divisors is an integer number (35483412).

Almost surely, 2^7685959680 is an apocalyptic number.

7685959680 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 7685959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16606236816).

7685959680 is an abundant number, since it is smaller than the sum of its proper divisors (25526513952).

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

7685959680 is a wasteful number, since it uses less digits than its factorization.

7685959680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The square root of 7685959680 is about 87669.6052232471. The cubic root of 7685959680 is about 1973.4798689982.

The spelling of 7685959680 in words is "seven billion, six hundred eighty-five million, nine hundred fifty-nine thousand, six hundred eighty".