613476864 has 720 divisors, whose sum is σ = 2547024480. Its totient is φ = 139345920.

The previous prime is 613476859. The next prime is 613476893. The reversal of 613476864 is 468674316.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (580608) is a multiple of the sum of its prime factors (81).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32288247 + ... + 32288265.

It is an arithmetic number, because the mean of its divisors is an integer number (3537534).

Almost surely, 2^613476864 is an apocalyptic number.

613476864 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 613476864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273512240).

613476864 is an abundant number, since it is smaller than the sum of its proper divisors (1933547616).

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

613476864 is a wasteful number, since it uses less digits than its factorization.

613476864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 55 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 613476864 is about 24768.4651119120. The cubic root of 613476864 is about 849.7008700605.

The spelling of 613476864 in words is "six hundred thirteen million, four hundred seventy-six thousand, eight hundred sixty-four".