4657391616 has 96 divisors (see below), whose sum is σ = 12567653280. Its totient is φ = 1533591552.

The previous prime is 4657391593. The next prime is 4657391617. The reversal of 4657391616 is 6161937564.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4657391617) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 505386 + ... + 514518.

It is an arithmetic number, because the mean of its divisors is an integer number (130913055).

Almost surely, 2^4657391616 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 4657391616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6283826640).

4657391616 is an abundant number, since it is smaller than the sum of its proper divisors (7910261664).

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

4657391616 is an equidigital number, since it uses as much as digits as its factorization.

4657391616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9241 (or 9221 counting only the distinct ones).

The product of its digits is 816480, while the sum is 48.

The square root of 4657391616 is about 68245.0849219195. The cubic root of 4657391616 is about 1669.9914680382.

The spelling of 4657391616 in words is "four billion, six hundred fifty-seven million, three hundred ninety-one thousand, six hundred sixteen".