5777064000 has 672 divisors, whose sum is σ = 22500092160. Its totient is φ = 1410048000.

The previous prime is 5777063989. The next prime is 5777064067. The reversal of 5777064000 is 4607775.

5777064000 is a `hidden beast` number, since 5 + 7 + 7 + 7 + 0 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56087949 + ... + 56088051.

It is an arithmetic number, because the mean of its divisors is an integer number (33482280).

Almost surely, 2^5777064000 is an apocalyptic number.

5777064000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5777064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11250046080).

5777064000 is an abundant number, since it is smaller than the sum of its proper divisors (16723028160).

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

5777064000 is a wasteful number, since it uses less digits than its factorization.

5777064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 5777064000 is about 76006.9996776613. Note that the first 3 decimals coincide. The cubic root of 5777064000 is about 1794.3303083411.

The spelling of 5777064000 in words is "five billion, seven hundred seventy-seven million, sixty-four thousand".