76465135512 has 128 divisors (see below), whose sum is σ = 214695360000. Its totient is φ = 25214813568.

The previous prime is 76465135501. The next prime is 76465135531. The reversal of 76465135512 is 21553156467.

76465135512 is a `hidden beast` number, since 7 + 6 + 46 + 51 + 3 + 551 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7611789 + ... + 7621827.

It is an arithmetic number, because the mean of its divisors is an integer number (1677307500).

Almost surely, 2^76465135512 is an apocalyptic number.

76465135512 is a gapful number since it is divisible by the number (72) 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 76465135512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107347680000).

76465135512 is an abundant number, since it is smaller than the sum of its proper divisors (138230224488).

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

76465135512 is a wasteful number, since it uses less digits than its factorization.

76465135512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10430 (or 10420 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The spelling of 76465135512 in words is "seventy-six billion, four hundred sixty-five million, one hundred thirty-five thousand, five hundred twelve".