4660813840 has 160 divisors (see below), whose sum is σ = 12091368960. Its totient is φ = 1661755392.

The previous prime is 4660813837. The next prime is 4660813847. The reversal of 4660813840 is 483180664.

It is a super-2 number, since 2×4660813840² = 43446371302271091200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4660813793 and 4660813802.

It is not an unprimeable number, because it can be changed into a prime (4660813847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3408837 + ... + 3410203.

It is an arithmetic number, because the mean of its divisors is an integer number (75571056).

Almost surely, 2^4660813840 is an apocalyptic number.

4660813840 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 4660813840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6045684480).

4660813840 is an abundant number, since it is smaller than the sum of its proper divisors (7430555120).

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

4660813840 is a wasteful number, since it uses less digits than its factorization.

4660813840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 4660813840 is about 68270.1533614800. The cubic root of 4660813840 is about 1670.4004012008.

The spelling of 4660813840 in words is "four billion, six hundred sixty million, eight hundred thirteen thousand, eight hundred forty".