77194107648 has 432 divisors, whose sum is σ = 268028984160. Its totient is φ = 21849440256.

The previous prime is 77194107629. The next prime is 77194107659. The reversal of 77194107648 is 84670149177.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 77194107594 and 77194107603.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38270736 + ... + 38272752.

Almost surely, 2^77194107648 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 77194107648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134014492080).

77194107648 is an abundant number, since it is smaller than the sum of its proper divisors (190834876512).

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

77194107648 is a wasteful number, since it uses less digits than its factorization.

77194107648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 77194107648 in words is "seventy-seven billion, one hundred ninety-four million, one hundred seven thousand, six hundred forty-eight".