613335438720 has 512 divisors, whose sum is σ = 2204213961600. Its totient is φ = 161163509760.

The previous prime is 613335438701. The next prime is 613335438731. The reversal of 613335438720 is 27834533316.

613335438720 is a `hidden beast` number, since 6 + 1 + 3 + 3 + 3 + 543 + 87 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 464295660 + ... + 464296980.

Almost surely, 2^613335438720 is an apocalyptic number.

613335438720 is a gapful number since it is divisible by the number (60) 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 613335438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102106980800).

613335438720 is an abundant number, since it is smaller than the sum of its proper divisors (1590878522880).

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

613335438720 is a wasteful number, since it uses less digits than its factorization.

613335438720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1723 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 613335438720 in words is "six hundred thirteen billion, three hundred thirty-five million, four hundred thirty-eight thousand, seven hundred twenty".