4713920064 has 672 divisors, whose sum is σ = 17574036480. Its totient is φ = 1222760448.

The previous prime is 4713920059. The next prime is 4713920129. The reversal of 4713920064 is 4600293174.

It is a tau number, because it is divible by the number of its divisors (672).

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

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, 88941862 + ... + 88941914.

It is an arithmetic number, because the mean of its divisors is an integer number (26151840).

Almost surely, 2^4713920064 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 4713920064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8787018240).

4713920064 is an abundant number, since it is smaller than the sum of its proper divisors (12860116416).

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

4713920064 is a wasteful number, since it uses less digits than its factorization.

4713920064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 4713920064 is about 68657.9934457744. The cubic root of 4713920064 is about 1676.7207461254.

The spelling of 4713920064 in words is "four billion, seven hundred thirteen million, nine hundred twenty thousand, sixty-four".