610894409368320 has 1728 divisors, whose sum is σ = 2792043915687936. Its totient is φ = 119392575160320.

The previous prime is 610894409368277. The next prime is 610894409368381. The reversal of 610894409368320 is 23863904498016.

610894409368320 is a `hidden beast` number, since 6 + 1 + 0 + 8 + 9 + 440 + 93 + 6 + 83 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24082236277 + ... + 24082261643.

It is an arithmetic number, because the mean of its divisors is an integer number (1615766154912).

Almost surely, 2^{610894409368320} is an apocalyptic number.

610894409368320 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 610894409368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396021957843968).

610894409368320 is an abundant number, since it is smaller than the sum of its proper divisors (2181149506319616).

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

610894409368320 is a wasteful number, since it uses less digits than its factorization.

610894409368320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27026 (or 27009 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 610894409368320 in words is "six hundred ten trillion, eight hundred ninety-four billion, four hundred nine million, three hundred sixty-eight thousand, three hundred twenty".