4560640000 has 240 divisors, whose sum is σ = 13048635600. Its totient is φ = 1560576000.

The previous prime is 4560639947. The next prime is 4560640039. The reversal of 4560640000 is 460654.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8959746 + ... + 8960254.

It is an arithmetic number, because the mean of its divisors is an integer number (54369315).

Almost surely, 2^4560640000 is an apocalyptic number.

4560640000 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 4560640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6524317800).

4560640000 is an abundant number, since it is smaller than the sum of its proper divisors (8487995600).

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

4560640000 is an frugal number, since it uses more digits than its factorization.

4560640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 4560640000 is about 67532.5106892969. The cubic root of 4560640000 is about 1658.3464445709.

The spelling of 4560640000 in words is "four billion, five hundred sixty million, six hundred forty thousand".