76636721280 has 768 divisors, whose sum is σ = 300192168960. Its totient is φ = 16548618240.

The previous prime is 76636721267. The next prime is 76636721297. The reversal of 76636721280 is 8212763667.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 231530715 + ... + 231531045.

It is an arithmetic number, because the mean of its divisors is an integer number (390875220).

Almost surely, 2^76636721280 is an apocalyptic number.

76636721280 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 76636721280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150096084480).

76636721280 is an abundant number, since it is smaller than the sum of its proper divisors (223555447680).

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

76636721280 is a wasteful number, since it uses less digits than its factorization.

76636721280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 76636721280 in words is "seventy-six billion, six hundred thirty-six million, seven hundred twenty-one thousand, two hundred eighty".