613790464 has 108 divisors (see below), whose sum is σ = 1438640784. Its totient is φ = 260585472.

The previous prime is 613790461. The next prime is 613790473. The reversal of 613790464 is 464097316.

It is not an unprimeable number, because it can be changed into a prime (613790461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2094702 + ... + 2094994.

It is an arithmetic number, because the mean of its divisors is an integer number (13320748).

Almost surely, 2^613790464 is an apocalyptic number.

613790464 is a gapful number since it is divisible by the number (64) 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 613790464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719320392).

613790464 is an abundant number, since it is smaller than the sum of its proper divisors (824850320).

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

613790464 is a wasteful number, since it uses less digits than its factorization.

613790464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 613790464 is about 24774.7949335610. The cubic root of 613790464 is about 849.8456300978.

The spelling of 613790464 in words is "six hundred thirteen million, seven hundred ninety thousand, four hundred sixty-four".