77557645368 has 256 divisors, whose sum is σ = 254976000000. Its totient is φ = 21375446400.

The previous prime is 77557645339. The next prime is 77557645393. The reversal of 77557645368 is 86354675577.

It is a happy number.

77557645368 is a `hidden beast` number, since 7 + 7 + 5 + 576 + 4 + 53 + 6 + 8 = 666.

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

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, 15512133 + ... + 15517131.

It is an arithmetic number, because the mean of its divisors is an integer number (996000000).

Almost surely, 2^77557645368 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 77557645368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127488000000).

77557645368 is an abundant number, since it is smaller than the sum of its proper divisors (177418354632).

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

77557645368 is a wasteful number, since it uses less digits than its factorization.

77557645368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5383 (or 5373 counting only the distinct ones).

The product of its digits is 148176000, while the sum is 63.

The spelling of 77557645368 in words is "seventy-seven billion, five hundred fifty-seven million, six hundred forty-five thousand, three hundred sixty-eight".