7680031632 has 320 divisors, whose sum is σ = 27258255360. Its totient is φ = 2016078336.

The previous prime is 7680031607. The next prime is 7680031769. The reversal of 7680031632 is 2361300867.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 13640983 + ... + 13641545.

It is an arithmetic number, because the mean of its divisors is an integer number (85182048).

Almost surely, 2^7680031632 is an apocalyptic number.

7680031632 is a gapful number since it is divisible by the number (72) 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 7680031632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13629127680).

7680031632 is an abundant number, since it is smaller than the sum of its proper divisors (19578223728).

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

7680031632 is a wasteful number, since it uses less digits than its factorization.

7680031632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 7680031632 is about 87635.7896752234. The cubic root of 7680031632 is about 1972.9723681836.

The spelling of 7680031632 in words is "seven billion, six hundred eighty million, thirty-one thousand, six hundred thirty-two".