77368734144 has 448 divisors, whose sum is σ = 251443906560. Its totient is φ = 23182848000.

The previous prime is 77368734139. The next prime is 77368734181. The reversal of 77368734144 is 44143786377.

77368734144 is a `hidden beast` number, since 77 + 368 + 73 + 4 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 179509609 + ... + 179510039.

It is an arithmetic number, because the mean of its divisors is an integer number (561258720).

Almost surely, 2^77368734144 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 77368734144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125721953280).

77368734144 is an abundant number, since it is smaller than the sum of its proper divisors (174075172416).

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

77368734144 is a wasteful number, since it uses less digits than its factorization.

77368734144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 641 counting only the distinct ones).

The product of its digits is 9483264, while the sum is 54.

The spelling of 77368734144 in words is "seventy-seven billion, three hundred sixty-eight million, seven hundred thirty-four thousand, one hundred forty-four".