5077142784 has 216 divisors, whose sum is σ = 17121296192. Its totient is φ = 1416683520.

The previous prime is 5077142767. The next prime is 5077142801. The reversal of 5077142784 is 4872417705.

5077142784 is a `hidden beast` number, since 507 + 71 + 4 + 2 + 78 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5077142767) and next prime (5077142801).

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, 689844 + ... + 697164.

Almost surely, 2^5077142784 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 5077142784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8560648096).

5077142784 is an abundant number, since it is smaller than the sum of its proper divisors (12044153408).

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

5077142784 is a wasteful number, since it uses less digits than its factorization.

5077142784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7393 (or 7376 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 45.

The square root of 5077142784 is about 71254.0720520589. The cubic root of 5077142784 is about 1718.7252570340.

The spelling of 5077142784 in words is "five billion, seventy-seven million, one hundred forty-two thousand, seven hundred eighty-four".