77481736176960 has 1120 divisors, whose sum is σ = 294975683278848. Its totient is φ = 19237717278720.

The previous prime is 77481736176947. The next prime is 77481736176983. The reversal of 77481736176960 is 6967163718477.

77481736176960 is a `hidden beast` number, since 7 + 7 + 481 + 73 + 6 + 1 + 76 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18774346417 + ... + 18774350543.

Almost surely, 2^{77481736176960} 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 77481736176960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147487841639424).

77481736176960 is an abundant number, since it is smaller than the sum of its proper divisors (217493947101888).

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

77481736176960 is a wasteful number, since it uses less digits than its factorization.

77481736176960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4621 (or 4602 counting only the distinct ones).

The product of its (nonzero) digits is 448084224, while the sum is 72.

The spelling of 77481736176960 in words is "seventy-seven trillion, four hundred eighty-one billion, seven hundred thirty-six million, one hundred seventy-six thousand, nine hundred sixty".