7687142304 has 72 divisors (see below), whose sum is σ = 20362148352. Its totient is φ = 2539299840.

The previous prime is 7687142299. The next prime is 7687142327. The reversal of 7687142304 is 4032417867.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1222689 + ... + 1228959.

It is an arithmetic number, because the mean of its divisors is an integer number (282807616).

Almost surely, 2^7687142304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7687142304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10181074176).

7687142304 is an abundant number, since it is smaller than the sum of its proper divisors (12675006048).

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

7687142304 is a wasteful number, since it uses less digits than its factorization.

7687142304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6510 (or 6389 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 7687142304 is about 87676.3497415352. The cubic root of 7687142304 is about 1973.5810823387.

The spelling of 7687142304 in words is "seven billion, six hundred eighty-seven million, one hundred forty-two thousand, three hundred four".