4564152677120 has 288 divisors, whose sum is σ = 11664654199296. Its totient is φ = 1707982848000.

The previous prime is 4564152677099. The next prime is 4564152677173. The reversal of 4564152677120 is 217762514654.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230491220 + ... + 230511020.

Almost surely, 2^{4564152677120} is an apocalyptic number.

4564152677120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4564152677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5832327099648).

4564152677120 is an abundant number, since it is smaller than the sum of its proper divisors (7100501522176).

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

4564152677120 is a wasteful number, since it uses less digits than its factorization.

4564152677120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20047 (or 20033 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 50.

The spelling of 4564152677120 in words is "four trillion, five hundred sixty-four billion, one hundred fifty-two million, six hundred seventy-seven thousand, one hundred twenty".