76099612680 has 384 divisors, whose sum is σ = 310617216000. Its totient is φ = 16055843328.

The previous prime is 76099612661. The next prime is 76099612681. The reversal of 76099612680 is 8621699067.

76099612680 is a `hidden beast` number, since 7 + 609 + 9 + 6 + 1 + 26 + 8 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (76099612681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1581537 + ... + 1628943.

It is an arithmetic number, because the mean of its divisors is an integer number (808899000).

Almost surely, 2^76099612680 is an apocalyptic number.

76099612680 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 76099612680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155308608000).

76099612680 is an abundant number, since it is smaller than the sum of its proper divisors (234517603320).

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

76099612680 is a wasteful number, since it uses less digits than its factorization.

76099612680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47458 (or 47437 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 76099612680 in words is "seventy-six billion, ninety-nine million, six hundred twelve thousand, six hundred eighty".