77943656621376 has 5040 divisors, whose sum is σ = 331775469438336. Its totient is φ = 17885996384256.

The previous prime is 77943656621287. The next prime is 77943656621387. The reversal of 77943656621376 is 67312665634977.

77943656621376 is a `hidden beast` number, since 7 + 7 + 9 + 4 + 3 + 6 + 566 + 21 + 37 + 6 = 666.

77943656621376 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 719 ways as a sum of consecutive naturals, for example, 1163338158495 + ... + 1163338158561.

Almost surely, 2^{77943656621376} 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 77943656621376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165887734719168).

77943656621376 is an abundant number, since it is smaller than the sum of its proper divisors (253831812816960).

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

77943656621376 is a wasteful number, since it uses less digits than its factorization.

77943656621376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 185 counting only the distinct ones).

The product of its digits is 1440270720, while the sum is 72.

The spelling of 77943656621376 in words is "seventy-seven trillion, nine hundred forty-three billion, six hundred fifty-six million, six hundred twenty-one thousand, three hundred seventy-six".