76465516608 has 672 divisors, whose sum is σ = 259705205760. Its totient is φ = 21319925760.

The previous prime is 76465516591. The next prime is 76465516613. The reversal of 76465516608 is 80661556467.

76465516608 is a `hidden beast` number, since 7 + 6 + 4 + 65 + 516 + 60 + 8 = 666.

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, 249073191 + ... + 249073497.

It is an arithmetic number, because the mean of its divisors is an integer number (386466080).

Almost surely, 2^76465516608 is an apocalyptic number.

76465516608 is a gapful number since it is divisible by the number (78) 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 76465516608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129852602880).

76465516608 is an abundant number, since it is smaller than the sum of its proper divisors (183239689152).

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

76465516608 is a wasteful number, since it uses less digits than its factorization.

76465516608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 76465516608 in words is "seventy-six billion, four hundred sixty-five million, five hundred sixteen thousand, six hundred eight".