610773803312 has 240 divisors, whose sum is σ = 1329858883584. Its totient is φ = 271257984000.

The previous prime is 610773803251. The next prime is 610773803333. The reversal of 610773803312 is 213308377016.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a self number, because there is not a number n which added to its sum of digits gives 610773803312.

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, 1989491063 + ... + 1989491369.

Almost surely, 2^610773803312 is an apocalyptic number.

610773803312 is a gapful number since it is divisible by the number (62) 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 610773803312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664929441792).

610773803312 is an abundant number, since it is smaller than the sum of its proper divisors (719085080272).

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

610773803312 is a wasteful number, since it uses less digits than its factorization.

610773803312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 41.

The spelling of 610773803312 in words is "six hundred ten billion, seven hundred seventy-three million, eight hundred three thousand, three hundred twelve".