77363112960 has 1188 divisors, whose sum is σ = 330692555232. Its totient is φ = 17306763264.

The previous prime is 77363112901. The next prime is 77363113013. The reversal of 77363112960 is 6921136377.

77363112960 is a `hidden beast` number, since 7 + 7 + 3 + 631 + 1 + 2 + 9 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1646023657 + ... + 1646023703.

Almost surely, 2^77363112960 is an apocalyptic number.

77363112960 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 77363112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165346277616).

77363112960 is an abundant number, since it is smaller than the sum of its proper divisors (253329442272).

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

77363112960 is an frugal number, since it uses more digits than its factorization.

77363112960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 77363112960 in words is "seventy-seven billion, three hundred sixty-three million, one hundred twelve thousand, nine hundred sixty".