76268601310800 has 240 divisors, whose sum is σ = 259115616289152. Its totient is φ = 19110070272000.

The previous prime is 76268601310789. The next prime is 76268601310901. The reversal of 76268601310800 is 801310686267.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a self number, because there is not a number n which added to its sum of digits gives 76268601310800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9150037 + ... + 15370763.

Almost surely, 2^{76268601310800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76268601310800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129557808144576).

76268601310800 is an abundant number, since it is smaller than the sum of its proper divisors (182847014978352).

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

76268601310800 is a wasteful number, since it uses less digits than its factorization.

76268601310800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6221366 (or 6221355 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 76268601310800 in words is "seventy-six trillion, two hundred sixty-eight billion, six hundred one million, three hundred ten thousand, eight hundred".