7682945760 has 576 divisors, whose sum is σ = 32305029120. Its totient is φ = 1624043520.

The previous prime is 7682945759. The next prime is 7682945789. The reversal of 7682945760 is 675492867.

7682945760 is a `hidden beast` number, since 7 + 68 + 2 + 9 + 4 + 576 + 0 = 666.

It is a super-2 number, since 2×7682945760² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7682945697 and 7682945706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7186506 + ... + 7187574.

It is an arithmetic number, because the mean of its divisors is an integer number (56085120).

Almost surely, 2^7682945760 is an apocalyptic number.

7682945760 is a gapful number since it is divisible by the number (70) 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 7682945760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16152514560).

7682945760 is an abundant number, since it is smaller than the sum of its proper divisors (24622083360).

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

7682945760 is a wasteful number, since it uses less digits than its factorization.

7682945760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 7682945760 is about 87652.4144561917. The cubic root of 7682945760 is about 1973.2218796114.

The spelling of 7682945760 in words is "seven billion, six hundred eighty-two million, nine hundred forty-five thousand, seven hundred sixty".