77469613056 has 792 divisors, whose sum is σ = 266379090432. Its totient is φ = 22444646400.

The previous prime is 77469613049. The next prime is 77469613073. The reversal of 77469613056 is 65031696477.

It is a happy number.

77469613056 is a `hidden beast` number, since 77 + 469 + 61 + 3 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

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 = 77469612993 and 77469613011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 933368791 + ... + 933368873.

Almost surely, 2^77469613056 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 77469613056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133189545216).

77469613056 is an abundant number, since it is smaller than the sum of its proper divisors (188909477376).

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

77469613056 is a wasteful number, since it uses less digits than its factorization.

77469613056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 77469613056 in words is "seventy-seven billion, four hundred sixty-nine million, six hundred thirteen thousand, fifty-six".