4558632960 has 768 divisors, whose sum is σ = 18681062400. Its totient is φ = 924844032.

The previous prime is 4558632889. The next prime is 4558632961. The reversal of 4558632960 is 692368554.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×4558632960² = 41562268927996723200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4558632961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106014699 + ... + 106014741.

It is an arithmetic number, because the mean of its divisors is an integer number (24324300).

Almost surely, 2^4558632960 is an apocalyptic number.

4558632960 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 4558632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9340531200).

4558632960 is an abundant number, since it is smaller than the sum of its proper divisors (14122429440).

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

4558632960 is a wasteful number, since it uses less digits than its factorization.

4558632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The square root of 4558632960 is about 67517.6492481781. The cubic root of 4558632960 is about 1658.1031412907.

The spelling of 4558632960 in words is "four billion, five hundred fifty-eight million, six hundred thirty-two thousand, nine hundred sixty".