76548850560 has 1152 divisors, whose sum is σ = 342332040960. Its totient is φ = 15606743040.

The previous prime is 76548850531. The next prime is 76548850589. The reversal of 76548850560 is 6505884567.

76548850560 is a `hidden beast` number, since 7 + 6 + 54 + 88 + 505 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (76548850531) and next prime (76548850589).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 76548850497 and 76548850506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 113742384 + ... + 113743056.

It is an arithmetic number, because the mean of its divisors is an integer number (297163230).

Almost surely, 2^76548850560 is an apocalyptic number.

76548850560 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 76548850560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171166020480).

76548850560 is an abundant number, since it is smaller than the sum of its proper divisors (265783190400).

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

76548850560 is a wasteful number, since it uses less digits than its factorization.

76548850560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 76548850560 in words is "seventy-six billion, five hundred forty-eight million, eight hundred fifty thousand, five hundred sixty".