5070713760 has 576 divisors, whose sum is σ = 21194514432. Its totient is φ = 1077608448.

The previous prime is 5070713737. The next prime is 5070713761. The reversal of 5070713760 is 673170705.

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

It is not an unprimeable number, because it can be changed into a prime (5070713761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21762604 + ... + 21762836.

It is an arithmetic number, because the mean of its divisors is an integer number (36796032).

Almost surely, 2^5070713760 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 5070713760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10597257216).

5070713760 is an abundant number, since it is smaller than the sum of its proper divisors (16123800672).

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

5070713760 is a wasteful number, since it uses less digits than its factorization.

5070713760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 36.

The square root of 5070713760 is about 71208.9443820086. The cubic root of 5070713760 is about 1717.9994949500. Note that the first 3 decimals are identical.

The spelling of 5070713760 in words is "five billion, seventy million, seven hundred thirteen thousand, seven hundred sixty".