4610599745640 has 192 divisors, whose sum is σ = 16094296632960. Its totient is φ = 1053573373440.

The previous prime is 4610599745623. The next prime is 4610599745701. The reversal of 4610599745640 is 465479950164.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22612950 + ... + 22815930.

It is an arithmetic number, because the mean of its divisors is an integer number (83824461630).

Almost surely, 2^{4610599745640} is an apocalyptic number.

4610599745640 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 4610599745640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8047148316480).

4610599745640 is an abundant number, since it is smaller than the sum of its proper divisors (11483696887320).

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

4610599745640 is a wasteful number, since it uses less digits than its factorization.

4610599745640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206872 (or 206861 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 60.

The spelling of 4610599745640 in words is "four trillion, six hundred ten billion, five hundred ninety-nine million, seven hundred forty-five thousand, six hundred forty".