77192114503680 has 1024 divisors, whose sum is σ = 299903846457600. Its totient is φ = 18682226933760.

The previous prime is 77192114503667. The next prime is 77192114503747. The reversal of 77192114503680 is 8630541129177.

77192114503680 is a `hidden beast` number, since 7 + 7 + 19 + 2 + 114 + 503 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 45594868914 + ... + 45594870606.

It is a 2-persistent number, because it is pandigital, and so is 2⋅77192114503680 = 154384229007360, but 3⋅77192114503680 = 231576343511040 is not.

Almost surely, 2^{77192114503680} 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 77192114503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149951923228800).

77192114503680 is an abundant number, since it is smaller than the sum of its proper divisors (222711731953920).

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

77192114503680 is a wasteful number, since it uses less digits than its factorization.

77192114503680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2685 (or 2651 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 77192114503680 in words is "seventy-seven trillion, one hundred ninety-two billion, one hundred fourteen million, five hundred three thousand, six hundred eighty".