77165996544 has 1200 divisors, whose sum is σ = 303448578048. Its totient is φ = 19313344512.

The previous prime is 77165996533. The next prime is 77165996563. The reversal of 77165996544 is 44569956177.

77165996544 is a `hidden beast` number, since 77 + 16 + 5 + 9 + 9 + 6 + 544 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (57153600) is a multiple of the sum of its prime divisors (175).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 607606209 + ... + 607606335.

Almost surely, 2^77165996544 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 77165996544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151724289024).

77165996544 is an abundant number, since it is smaller than the sum of its proper divisors (226282581504).

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

77165996544 is a wasteful number, since it uses less digits than its factorization.

77165996544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 175 counting only the distinct ones).

The product of its digits is 57153600, while the sum is 63.

The spelling of 77165996544 in words is "seventy-seven billion, one hundred sixty-five million, nine hundred ninety-six thousand, five hundred forty-four".