76099019767680 has 4096 divisors, whose sum is σ = 343961468928000. Its totient is φ = 13858787819520.

The previous prime is 76099019767601. The next prime is 76099019767703. The reversal of 76099019767680 is 8676791099067.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 128328869464 + ... + 128328870056.

It is an arithmetic number, because the mean of its divisors is an integer number (83974968000).

Almost surely, 2^{76099019767680} is an apocalyptic number.

76099019767680 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 76099019767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171980734464000).

76099019767680 is an abundant number, since it is smaller than the sum of its proper divisors (267862449160320).

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

76099019767680 is a wasteful number, since it uses less digits than its factorization.

76099019767680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 432081216, while the sum is 75.

The spelling of 76099019767680 in words is "seventy-six trillion, ninety-nine billion, nineteen million, seven hundred sixty-seven thousand, six hundred eighty".