77671753956864 has 160 divisors (see below), whose sum is σ = 229922446834080. Its totient is φ = 25889609318400.

The previous prime is 77671753956847. The next prime is 77671753956877. The reversal of 77671753956864 is 46865935717677.

77671753956864 is a `hidden beast` number, since 7 + 7 + 6 + 7 + 17 + 5 + 39 + 568 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 430126434 + ... + 430306974.

It is an arithmetic number, because the mean of its divisors is an integer number (1437015292713).

Almost surely, 2^{77671753956864} 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 77671753956864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114961223417040).

77671753956864 is an abundant number, since it is smaller than the sum of its proper divisors (152250692877216).

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

77671753956864 is a wasteful number, since it uses less digits than its factorization.

77671753956864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211689 (or 211667 counting only the distinct ones).

The product of its digits is 11202105600, while the sum is 81.

The spelling of 77671753956864 in words is "seventy-seven trillion, six hundred seventy-one billion, seven hundred fifty-three million, nine hundred fifty-six thousand, eight hundred sixty-four".