610042683900 has 144 divisors (see below), whose sum is σ = 1915799158784. Its totient is φ = 148981835520.

The previous prime is 610042683847. The next prime is 610042683917. The reversal of 610042683900 is 9386240016.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 120532 + ... + 1111131.

Almost surely, 2^610042683900 is an apocalyptic number.

610042683900 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 610042683900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957899579392).

610042683900 is an abundant number, since it is smaller than the sum of its proper divisors (1305756474884).

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

610042683900 is a wasteful number, since it uses less digits than its factorization.

610042683900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231820 (or 1231813 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 610042683900 in words is "six hundred ten billion, forty-two million, six hundred eighty-three thousand, nine hundred".