7686368640 has 320 divisors, whose sum is σ = 27871691760. Its totient is φ = 2018193408.

The previous prime is 7686368639. The next prime is 7686368681. The reversal of 7686368640 is 468636867.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 39 ways as a sum of consecutive naturals, for example, 3472174 + ... + 3474386.

Almost surely, 2^7686368640 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 7686368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13935845880).

7686368640 is an abundant number, since it is smaller than the sum of its proper divisors (20185323120).

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

7686368640 is a wasteful number, since it uses less digits than its factorization.

7686368640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The square root of 7686368640 is about 87671.9375855239. The cubic root of 7686368640 is about 1973.5148704834.

The spelling of 7686368640 in words is "seven billion, six hundred eighty-six million, three hundred sixty-eight thousand, six hundred forty".