77355656842464 has 864 divisors, whose sum is σ = 301051445700096. Its totient is φ = 18520948131840.

The previous prime is 77355656842417. The next prime is 77355656842481. The reversal of 77355656842464 is 46424865655377.

77355656842464 is a `hidden beast` number, since 7 + 7 + 3 + 5 + 5 + 65 + 68 + 42 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 77355656842392 and 77355656842401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1467071269 + ... + 1467123995.

It is an arithmetic number, because the mean of its divisors is an integer number (348439173264).

Almost surely, 2^{77355656842464} 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 77355656842464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150525722850048).

77355656842464 is an abundant number, since it is smaller than the sum of its proper divisors (223695788857632).

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

77355656842464 is a wasteful number, since it uses less digits than its factorization.

77355656842464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53508 (or 53490 counting only the distinct ones).

The product of its digits is 4064256000, while the sum is 72.

The spelling of 77355656842464 in words is "seventy-seven trillion, three hundred fifty-five billion, six hundred fifty-six million, eight hundred forty-two thousand, four hundred sixty-four".