7686238320 has 120 divisors (see below), whose sum is σ = 25839212256. Its totient is φ = 2047578624.

The previous prime is 7686238303. The next prime is 7686238331. The reversal of 7686238320 is 238326867.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 782077 + ... + 791843.

Almost surely, 2^7686238320 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 7686238320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12919606128).

7686238320 is an abundant number, since it is smaller than the sum of its proper divisors (18152973936).

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

7686238320 is a wasteful number, since it uses less digits than its factorization.

7686238320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10879 (or 10870 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 7686238320 is about 87671.1943570977. The cubic root of 7686238320 is about 1973.5037169759.

The spelling of 7686238320 in words is "seven billion, six hundred eighty-six million, two hundred thirty-eight thousand, three hundred twenty".