4709412864 has 312 divisors, whose sum is σ = 15169994112. Its totient is φ = 1397882880.

The previous prime is 4709412823. The next prime is 4709412871. The reversal of 4709412864 is 4682149074.

4709412864 is a `hidden beast` number, since 470 + 94 + 12 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (312).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14856034 + ... + 14856350.

It is an arithmetic number, because the mean of its divisors is an integer number (48621776).

Almost surely, 2^4709412864 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 4709412864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7584997056).

4709412864 is an abundant number, since it is smaller than the sum of its proper divisors (10460581248).

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

4709412864 is a wasteful number, since it uses less digits than its factorization.

4709412864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 4709412864 is about 68625.1620325956. The cubic root of 4709412864 is about 1676.1861786063.

The spelling of 4709412864 in words is "four billion, seven hundred nine million, four hundred twelve thousand, eight hundred sixty-four".