7682912640 has 512 divisors, whose sum is σ = 30598041600. Its totient is φ = 1807736832.

The previous prime is 7682912623. The next prime is 7682912651. The reversal of 7682912640 is 462192867.

It is a happy number.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5165977 + ... + 5167463.

It is an arithmetic number, because the mean of its divisors is an integer number (59761800).

Almost surely, 2^7682912640 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 7682912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15299020800).

7682912640 is an abundant number, since it is smaller than the sum of its proper divisors (22915128960).

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

7682912640 is a wasteful number, since it uses less digits than its factorization.

7682912640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 7682912640 is about 87652.2255279351. The cubic root of 7682912640 is about 1973.2190441884.

The spelling of 7682912640 in words is "seven billion, six hundred eighty-two million, nine hundred twelve thousand, six hundred forty".