610397061120 has 1152 divisors, whose sum is σ = 2754147614400. Its totient is φ = 126835752960.

The previous prime is 610397061107. The next prime is 610397061163. The reversal of 610397061120 is 21160793016.

610397061120 is a `hidden beast` number, since 6 + 1 + 0 + 39 + 7 + 0 + 611 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 47 ways as a sum of consecutive naturals, for example, 55490641915 + ... + 55490641925.

Almost surely, 2^610397061120 is an apocalyptic number.

610397061120 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 610397061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377073807200).

610397061120 is an abundant number, since it is smaller than the sum of its proper divisors (2143750553280).

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

610397061120 is an frugal number, since it uses more digits than its factorization.

610397061120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 610397061120 in words is "six hundred ten billion, three hundred ninety-seven million, sixty-one thousand, one hundred twenty".