4660759440 has 320 divisors, whose sum is σ = 17218897920. Its totient is φ = 1169012736.

The previous prime is 4660759409. The next prime is 4660759463. The reversal of 4660759440 is 449570664.

It is a super-2 number, since 2×4660759440² = 43445357115098227200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2973537 + ... + 2975103.

It is an arithmetic number, because the mean of its divisors is an integer number (53809056).

Almost surely, 2^4660759440 is an apocalyptic number.

4660759440 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 4660759440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8609448960).

4660759440 is an abundant number, since it is smaller than the sum of its proper divisors (12558138480).

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

4660759440 is a wasteful number, since it uses less digits than its factorization.

4660759440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 1594 counting only the distinct ones).

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

The square root of 4660759440 is about 68269.7549431665. The cubic root of 4660759440 is about 1670.3939023261.

The spelling of 4660759440 in words is "four billion, six hundred sixty million, seven hundred fifty-nine thousand, four hundred forty".