5077718064 has 80 divisors (see below), whose sum is σ = 14689853440. Its totient is φ = 1679227200.

The previous prime is 5077718059. The next prime is 5077718069. The reversal of 5077718064 is 4608177705.

5077718064 is a `hidden beast` number, since 507 + 7 + 7 + 1 + 80 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (5077718059) and next prime (5077718069).

It is not an unprimeable number, because it can be changed into a prime (5077718069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8589 + ... + 101139.

It is an arithmetic number, because the mean of its divisors is an integer number (183623168).

Almost surely, 2^5077718064 is an apocalyptic number.

5077718064 is a gapful number since it is divisible by the number (54) 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 5077718064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7344926720).

5077718064 is an abundant number, since it is smaller than the sum of its proper divisors (9612135376).

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

5077718064 is a wasteful number, since it uses less digits than its factorization.

5077718064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92695 (or 92683 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The square root of 5077718064 is about 71258.1087596352. The cubic root of 5077718064 is about 1718.7901695886.

The spelling of 5077718064 in words is "five billion, seventy-seven million, seven hundred eighteen thousand, sixty-four".