76320135360 has 896 divisors, whose sum is σ = 317116846080. Its totient is φ = 16920576000.

The previous prime is 76320135329. The next prime is 76320135373. The reversal of 76320135360 is 6353102367.

76320135360 is a `hidden beast` number, since 7 + 63 + 201 + 35 + 360 = 666.

It is a super-3 number, since 3×76320135360³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 505431285 + ... + 505431435.

Almost surely, 2^76320135360 is an apocalyptic number.

76320135360 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 76320135360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158558423040).

76320135360 is an abundant number, since it is smaller than the sum of its proper divisors (240796710720).

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

76320135360 is a wasteful number, since it uses less digits than its factorization.

76320135360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The spelling of 76320135360 in words is "seventy-six billion, three hundred twenty million, one hundred thirty-five thousand, three hundred sixty".