613783088082432 has 800 divisors, whose sum is σ = 2009163741361920. Its totient is φ = 186000048783360.

The previous prime is 613783088082431. The next prime is 613783088082473. The reversal of 613783088082432 is 234280880387316.

613783088082432 is a `hidden beast` number, since 6 + 1 + 3 + 7 + 8 + 308 + 80 + 8 + 243 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 613783088082432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613783088082431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1379260668 + ... + 1379705604.

Almost surely, 2^{613783088082432} is an apocalyptic number.

613783088082432 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 613783088082432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004581870680960).

613783088082432 is an abundant number, since it is smaller than the sum of its proper divisors (1395380653279488).

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

613783088082432 is a wasteful number, since it uses less digits than its factorization.

613783088082432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445064 (or 445039 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 613783088082432 in words is "six hundred thirteen trillion, seven hundred eighty-three billion, eighty-eight million, eighty-two thousand, four hundred thirty-two".