4657964480 has 84 divisors (see below), whose sum is σ = 12010762872. Its totient is φ = 1719843840.

The previous prime is 4657964411. The next prime is 4657964491. The reversal of 4657964480 is 844697564.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11015 + ... + 97145.

Almost surely, 2^4657964480 is an apocalyptic number.

4657964480 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 4657964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6005381436).

4657964480 is an abundant number, since it is smaller than the sum of its proper divisors (7352798392).

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

4657964480 is a wasteful number, since it uses less digits than its factorization.

4657964480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86174 (or 86151 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 53.

The square root of 4657964480 is about 68249.2819009841. The cubic root of 4657964480 is about 1670.0599354587.

The spelling of 4657964480 in words is "four billion, six hundred fifty-seven million, nine hundred sixty-four thousand, four hundred eighty".