77566165813920 has 384 divisors, whose sum is σ = 297476349327360. Its totient is φ = 16593916538880.

The previous prime is 77566165813919. The next prime is 77566165813963. The reversal of 77566165813920 is 2931856166577.

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, 2020611 + ... + 12618050.

It is an arithmetic number, because the mean of its divisors is an integer number (774677993040).

Almost surely, 2^{77566165813920} is an apocalyptic number.

77566165813920 is a gapful number since it is divisible by the number (70) 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 77566165813920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148738174663680).

77566165813920 is an abundant number, since it is smaller than the sum of its proper divisors (219910183513440).

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

77566165813920 is a wasteful number, since it uses less digits than its factorization.

77566165813920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14638788 (or 14638780 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 66.

The spelling of 77566165813920 in words is "seventy-seven trillion, five hundred sixty-six billion, one hundred sixty-five million, eight hundred thirteen thousand, nine hundred twenty".