4664257920 has 384 divisors, whose sum is σ = 19046664000. Its totient is φ = 1029095424.

The previous prime is 4664257907. The next prime is 4664257931. The reversal of 4664257920 is 297524664.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1167286 + ... + 1171274.

Almost surely, 2^4664257920 is an apocalyptic number.

4664257920 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 4664257920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9523332000).

4664257920 is an abundant number, since it is smaller than the sum of its proper divisors (14382406080).

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

4664257920 is a wasteful number, since it uses less digits than its factorization.

4664257920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4050 (or 4035 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 4664257920 is about 68295.3726104485. The cubic root of 4664257920 is about 1670.8117439653.

The spelling of 4664257920 in words is "four billion, six hundred sixty-four million, two hundred fifty-seven thousand, nine hundred twenty".