610654849938432 has 1100 divisors, whose sum is σ = 2079617145605120. Its totient is φ = 177991532199936.

The previous prime is 610654849938421. The next prime is 610654849938461. The reversal of 610654849938432 is 234839948456016.

610654849938432 is a `hidden beast` number, since 6 + 1 + 0 + 6 + 54 + 8 + 499 + 3 + 84 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 45010301313 + ... + 45010314879.

Almost surely, 2^{610654849938432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 610654849938432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039808572802560).

610654849938432 is an abundant number, since it is smaller than the sum of its proper divisors (1468962295666688).

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

610654849938432 is an equidigital number, since it uses as much as digits as its factorization.

610654849938432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13670 (or 13604 counting only the distinct ones).

The product of its (nonzero) digits is 1074954240, while the sum is 72.

The spelling of 610654849938432 in words is "six hundred ten trillion, six hundred fifty-four billion, eight hundred forty-nine million, nine hundred thirty-eight thousand, four hundred thirty-two".