76921436160 has 576 divisors, whose sum is σ = 291199708800. Its totient is φ = 19420839936.

The previous prime is 76921436159. The next prime is 76921436227. The reversal of 76921436160 is 6163412967.

76921436160 is a `hidden beast` number, since 7 + 6 + 9 + 21 + 4 + 3 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 47277267 + ... + 47278893.

It is an arithmetic number, because the mean of its divisors is an integer number (505555050).

Almost surely, 2^76921436160 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 76921436160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145599854400).

76921436160 is an abundant number, since it is smaller than the sum of its proper divisors (214278272640).

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

76921436160 is a wasteful number, since it uses less digits than its factorization.

76921436160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 76921436160 in words is "seventy-six billion, nine hundred twenty-one million, four hundred thirty-six thousand, one hundred sixty".