77259163968 has 336 divisors, whose sum is σ = 273453148800. Its totient is φ = 20774670336.

The previous prime is 77259163967. The next prime is 77259164011. The reversal of 77259163968 is 86936195277.

77259163968 is a `hidden beast` number, since 7 + 7 + 2 + 591 + 6 + 39 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77259163967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3347155 + ... + 3370157.

Almost surely, 2^77259163968 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 77259163968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136726574400).

77259163968 is an abundant number, since it is smaller than the sum of its proper divisors (196193984832).

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

77259163968 is a wasteful number, since it uses less digits than its factorization.

77259163968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23059 (or 23032 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 63.

The spelling of 77259163968 in words is "seventy-seven billion, two hundred fifty-nine million, one hundred sixty-three thousand, nine hundred sixty-eight".