77274380424960 has 648 divisors, whose sum is σ = 275393218267440. Its totient is φ = 19999720046592.

The previous prime is 77274380424911. The next prime is 77274380425001. The reversal of 77274380424960 is 6942408347277.

77274380424960 is a `hidden beast` number, since 7 + 7 + 2 + 7 + 4 + 380 + 4 + 249 + 6 + 0 = 666.

It is a super-2 number, since 2×77274380424960² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4241873772 + ... + 4241891988.

Almost surely, 2^{77274380424960} 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 77274380424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137696609133720).

77274380424960 is an abundant number, since it is smaller than the sum of its proper divisors (198118837842480).

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

77274380424960 is a wasteful number, since it uses less digits than its factorization.

77274380424960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18461 (or 18365 counting only the distinct ones).

The product of its (nonzero) digits is 113799168, while the sum is 63.

The spelling of 77274380424960 in words is "seventy-seven trillion, two hundred seventy-four billion, three hundred eighty million, four hundred twenty-four thousand, nine hundred sixty".