4615572864 has 128 divisors (see below), whose sum is σ = 14033306880. Its totient is φ = 1316689920.

The previous prime is 4615572839. The next prime is 4615572877. The reversal of 4615572864 is 4682755164.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (1612800) is a multiple of the sum of its prime factors (2688).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2937199 + ... + 2938769.

It is an arithmetic number, because the mean of its divisors is an integer number (109635210).

Almost surely, 2^4615572864 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 4615572864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7016653440).

4615572864 is an abundant number, since it is smaller than the sum of its proper divisors (9417734016).

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

4615572864 is a wasteful number, since it uses less digits than its factorization.

4615572864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688 (or 2676 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 48.

The square root of 4615572864 is about 67938.0075068441. The cubic root of 4615572864 is about 1664.9781447050.

The spelling of 4615572864 in words is "four billion, six hundred fifteen million, five hundred seventy-two thousand, eight hundred sixty-four".