610598940000 has 960 divisors, whose sum is σ = 2466794373120. Its totient is φ = 129127680000.

The previous prime is 610598939941. The next prime is 610598940071. The reversal of 610598940000 is 49895016.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 299458981 + ... + 299461019.

It is an arithmetic number, because the mean of its divisors is an integer number (2569577472).

Almost surely, 2^610598940000 is an apocalyptic number.

610598940000 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 610598940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233397186560).

610598940000 is an abundant number, since it is smaller than the sum of its proper divisors (1856195433120).

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

610598940000 is a wasteful number, since it uses less digits than its factorization.

610598940000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2133 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 610598940000 in words is "six hundred ten billion, five hundred ninety-eight million, nine hundred forty thousand".