4657764384 has 720 divisors, whose sum is σ = 17856115200. Its totient is φ = 1188794880.

The previous prime is 4657764317. The next prime is 4657764389. The reversal of 4657764384 is 4834677564.

4657764384 is a `hidden beast` number, since 4 + 6 + 577 + 64 + 3 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (13547520) is a multiple of the sum of its prime divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 4657764384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4657764389) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 150250449 + ... + 150250479.

It is an arithmetic number, because the mean of its divisors is an integer number (24800160).

Almost surely, 2^4657764384 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 4657764384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8928057600).

4657764384 is an abundant number, since it is smaller than the sum of its proper divisors (13198350816).

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

4657764384 is a wasteful number, since it uses less digits than its factorization.

4657764384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 56 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 54.

The square root of 4657764384 is about 68247.8159650549. The cubic root of 4657764384 is about 1670.0360210716.

The spelling of 4657764384 in words is "four billion, six hundred fifty-seven million, seven hundred sixty-four thousand, three hundred eighty-four".