77359546368 has 680 divisors, whose sum is σ = 266441128800. Its totient is φ = 22167945216.

The previous prime is 77359546357. The next prime is 77359546393. The reversal of 77359546368 is 86364595377.

77359546368 is a `hidden beast` number, since 7 + 7 + 3 + 59 + 546 + 36 + 8 = 666.

Its product of digits (114307200) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1311178723 + ... + 1311178781.

Almost surely, 2^77359546368 is an apocalyptic number.

77359546368 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77359546368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133220564400).

77359546368 is an abundant number, since it is smaller than the sum of its proper divisors (189081582432).

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

77359546368 is an equidigital number, since it uses as much as digits as its factorization.

77359546368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 96 counting only the distinct ones).

The product of its digits is 114307200, while the sum is 63.

The spelling of 77359546368 in words is "seventy-seven billion, three hundred fifty-nine million, five hundred forty-six thousand, three hundred sixty-eight".