7685476560 has 320 divisors, whose sum is σ = 26999343360. Its totient is φ = 2009180160.

The previous prime is 7685476537. The next prime is 7685476567. The reversal of 7685476560 is 656745867.

7685476560 is a `hidden beast` number, since 7 + 6 + 8 + 5 + 4 + 76 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 7685476497 and 7685476506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7685476567) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 44424634 + ... + 44424806.

It is an arithmetic number, because the mean of its divisors is an integer number (84372948).

Almost surely, 2^7685476560 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 7685476560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13499671680).

7685476560 is an abundant number, since it is smaller than the sum of its proper divisors (19313866800).

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

7685476560 is a wasteful number, since it uses less digits than its factorization.

7685476560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The square root of 7685476560 is about 87666.8498350431. The cubic root of 7685476560 is about 1973.4385188128.

The spelling of 7685476560 in words is "seven billion, six hundred eighty-five million, four hundred seventy-six thousand, five hundred sixty".