5076743364 has 288 divisors, whose sum is σ = 17171481600. Its totient is φ = 1272620160.

The previous prime is 5076743341. The next prime is 5076743381. The reversal of 5076743364 is 4633476705.

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, 2169307 + ... + 2171645.

It is an arithmetic number, because the mean of its divisors is an integer number (59623200).

Almost surely, 2^5076743364 is an apocalyptic number.

5076743364 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 5076743364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8585740800).

5076743364 is an abundant number, since it is smaller than the sum of its proper divisors (12094738236).

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

5076743364 is a wasteful number, since it uses less digits than its factorization.

5076743364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2405 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The square root of 5076743364 is about 71251.2692097481. The cubic root of 5076743364 is about 1718.6801850139.

The spelling of 5076743364 in words is "five billion, seventy-six million, seven hundred forty-three thousand, three hundred sixty-four".