5010742464 has 448 divisors, whose sum is σ = 17538533376. Its totient is φ = 1226244096.

The previous prime is 5010742447. The next prime is 5010742489. The reversal of 5010742464 is 4642470105.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14868504 + ... + 14868840.

It is an arithmetic number, because the mean of its divisors is an integer number (39148512).

Almost surely, 2^5010742464 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 5010742464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8769266688).

5010742464 is an abundant number, since it is smaller than the sum of its proper divisors (12527790912).

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

5010742464 is a wasteful number, since it uses less digits than its factorization.

5010742464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 5010742464 is about 70786.5980535864. The cubic root of 5010742464 is about 1711.1996943602.

The spelling of 5010742464 in words is "five billion, ten million, seven hundred forty-two thousand, four hundred sixty-four".