613440706032 has 960 divisors, whose sum is σ = 2276206313472. Its totient is φ = 149610240000.

The previous prime is 613440706013. The next prime is 613440706049. The reversal of 613440706032 is 230607044316.

It is a happy number.

613440706032 is a `hidden beast` number, since 6 + 1 + 3 + 4 + 40 + 7 + 0 + 603 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2750855073 + ... + 2750855295.

Almost surely, 2^613440706032 is an apocalyptic number.

613440706032 is a gapful number since it is divisible by the number (62) 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 613440706032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138103156736).

613440706032 is an abundant number, since it is smaller than the sum of its proper divisors (1662765607440).

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

613440706032 is a wasteful number, since it uses less digits than its factorization.

613440706032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 613440706032 in words is "six hundred thirteen billion, four hundred forty million, seven hundred six thousand, thirty-two".