77261366611968 has 1248 divisors, whose sum is σ = 264344875511808. Its totient is φ = 19641705431040.

The previous prime is 77261366611951. The next prime is 77261366611993. The reversal of 77261366611968 is 86911666316277.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103985688205 + ... + 103985688947.

It is an arithmetic number, because the mean of its divisors is an integer number (211814804096).

Almost surely, 2^{77261366611968} 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 77261366611968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132172437755904).

77261366611968 is an abundant number, since it is smaller than the sum of its proper divisors (187083508899840).

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

77261366611968 is a wasteful number, since it uses less digits than its factorization.

77261366611968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 966 counting only the distinct ones).

The product of its digits is 164602368, while the sum is 69.

The spelling of 77261366611968 in words is "seventy-seven trillion, two hundred sixty-one billion, three hundred sixty-six million, six hundred eleven thousand, nine hundred sixty-eight".