77025553744464 has 160 divisors (see below), whose sum is σ = 238115649900800. Its totient is φ = 23698506493440.

The previous prime is 77025553744421. The next prime is 77025553744501. The reversal of 77025553744464 is 46444735552077.

77025553744464 is a `hidden beast` number, since 7 + 7 + 0 + 2 + 5 + 553 + 74 + 4 + 4 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80738757 + ... + 81687195.

It is an arithmetic number, because the mean of its divisors is an integer number (1488222811880).

Almost surely, 2^{77025553744464} 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 77025553744464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119057824950400).

77025553744464 is an abundant number, since it is smaller than the sum of its proper divisors (161090096156336).

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

77025553744464 is a wasteful number, since it uses less digits than its factorization.

77025553744464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962930 (or 962918 counting only the distinct ones).

The product of its (nonzero) digits is 395136000, while the sum is 63.

The spelling of 77025553744464 in words is "seventy-seven trillion, twenty-five billion, five hundred fifty-three million, seven hundred forty-four thousand, four hundred sixty-four".