4616465724 has 240 divisors, whose sum is σ = 13523811840. Its totient is φ = 1364065920.

The previous prime is 4616465713. The next prime is 4616465747. The reversal of 4616465724 is 4275646164.

4616465724 is a `hidden beast` number, since 4 + 616 + 4 + 6 + 5 + 7 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4616465724.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12859057 + ... + 12859415.

It is an arithmetic number, because the mean of its divisors is an integer number (56349216).

Almost surely, 2^4616465724 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4616465724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6761905920).

4616465724 is an abundant number, since it is smaller than the sum of its proper divisors (8907346116).

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

4616465724 is a wasteful number, since it uses less digits than its factorization.

4616465724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 491 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 4616465724 is about 67944.5783267510. The cubic root of 4616465724 is about 1665.0854984096.

The spelling of 4616465724 in words is "four billion, six hundred sixteen million, four hundred sixty-five thousand, seven hundred twenty-four".