5038767360 has 432 divisors, whose sum is σ = 20145827520. Its totient is φ = 1149173760.

The previous prime is 5038767359. The next prime is 5038767367. The reversal of 5038767360 is 637678305.

5038767360 is a `hidden beast` number, since 503 + 8 + 76 + 73 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5038767367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2153071 + ... + 2155409.

It is an arithmetic number, because the mean of its divisors is an integer number (46633860).

Almost surely, 2^5038767360 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 5038767360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10072913760).

5038767360 is an abundant number, since it is smaller than the sum of its proper divisors (15107060160).

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

5038767360 is a wasteful number, since it uses less digits than its factorization.

5038767360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2394 (or 2377 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 5038767360 is about 70984.2754418188. The cubic root of 5038767360 is about 1714.3839905564.

The spelling of 5038767360 in words is "five billion, thirty-eight million, seven hundred sixty-seven thousand, three hundred sixty".