7677425664 has 288 divisors, whose sum is σ = 23457470400. Its totient is φ = 2415329280.

The previous prime is 7677425597. The next prime is 7677425671. The reversal of 7677425664 is 4665247767.

7677425664 is a `hidden beast` number, since 7 + 6 + 7 + 74 + 2 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 7677425664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28329849 + ... + 28330119.

It is an arithmetic number, because the mean of its divisors is an integer number (81449550).

Almost surely, 2^7677425664 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 7677425664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11728735200).

7677425664 is an abundant number, since it is smaller than the sum of its proper divisors (15780044736).

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

7677425664 is a wasteful number, since it uses less digits than its factorization.

7677425664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 358 counting only the distinct ones).

The product of its digits is 11854080, while the sum is 54.

The square root of 7677425664 is about 87620.9202416866. The cubic root of 7677425664 is about 1972.7491883520.

The spelling of 7677425664 in words is "seven billion, six hundred seventy-seven million, four hundred twenty-five thousand, six hundred sixty-four".