4294764864 has 168 divisors, whose sum is σ = 13955308640. Its totient is φ = 1251873792.

The previous prime is 4294764833. The next prime is 4294764869. The reversal of 4294764864 is 4684674924.

4294764864 is a `hidden beast` number, since 4 + 2 + 94 + 76 + 486 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4294764864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4294764869) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127179 + ... + 157365.

Almost surely, 2^4294764864 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 4294764864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6977654320).

4294764864 is an abundant number, since it is smaller than the sum of its proper divisors (9660543776).

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

4294764864 is a wasteful number, since it uses less digits than its factorization.

4294764864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30237 (or 30224 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The square root of 4294764864 is about 65534.4555482076. The cubic root of 4294764864 is about 1625.4731389443.

The spelling of 4294764864 in words is "four billion, two hundred ninety-four million, seven hundred sixty-four thousand, eight hundred sixty-four".