4564791504 has 320 divisors, whose sum is σ = 16332288000. Its totient is φ = 1188546048.

The previous prime is 4564791461. The next prime is 4564791523. The reversal of 4564791504 is 4051974654.

4564791504 is a `hidden beast` number, since 4 + 56 + 4 + 7 + 91 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4564791504.

It is a congruent number.

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, 3262197 + ... + 3263595.

It is an arithmetic number, because the mean of its divisors is an integer number (51038400).

Almost surely, 2^4564791504 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 4564791504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8166144000).

4564791504 is an abundant number, since it is smaller than the sum of its proper divisors (11767496496).

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

4564791504 is a wasteful number, since it uses less digits than its factorization.

4564791504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 4564791504 is about 67563.2407748474. The cubic root of 4564791504 is about 1658.8494839067.

The spelling of 4564791504 in words is "four billion, five hundred sixty-four million, seven hundred ninety-one thousand, five hundred four".