4577364120 has 128 divisors (see below), whose sum is σ = 15707312640. Its totient is φ = 1045355520.

The previous prime is 4577364101. The next prime is 4577364131. The reversal of 4577364120 is 214637754.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 1807255 + ... + 1809785.

It is an arithmetic number, because the mean of its divisors is an integer number (122713380).

Almost surely, 2^4577364120 is an apocalyptic number.

4577364120 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 4577364120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7853656320).

4577364120 is an abundant number, since it is smaller than the sum of its proper divisors (11129948520).

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

4577364120 is a wasteful number, since it uses less digits than its factorization.

4577364120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4705 (or 4701 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 4577364120 is about 67656.2201131574. The cubic root of 4577364120 is about 1660.3710546154.

The spelling of 4577364120 in words is "four billion, five hundred seventy-seven million, three hundred sixty-four thousand, one hundred twenty".