76585170816 has 1536 divisors, whose sum is σ = 320374656000. Its totient is φ = 17736744960.

The previous prime is 76585170763. The next prime is 76585170829. The reversal of 76585170816 is 61807158567.

76585170816 is a `hidden beast` number, since 76 + 58 + 517 + 0 + 8 + 1 + 6 = 666.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4030798455 + ... + 4030798473.

It is an arithmetic number, because the mean of its divisors is an integer number (208577250).

Almost surely, 2^76585170816 is an apocalyptic number.

76585170816 is a gapful number since it is divisible by the number (76) 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 76585170816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160187328000).

76585170816 is an abundant number, since it is smaller than the sum of its proper divisors (243789485184).

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

76585170816 is a wasteful number, since it uses less digits than its factorization.

76585170816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 76585170816 in words is "seventy-six billion, five hundred eighty-five million, one hundred seventy thousand, eight hundred sixteen".