610473369600 has 672 divisors, whose sum is σ = 2264951060640. Its totient is φ = 161187102720.

The previous prime is 610473369599. The next prime is 610473369617. The reversal of 610473369600 is 6963374016.

610473369600 is a `hidden beast` number, since 6 + 1 + 0 + 4 + 7 + 3 + 36 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 624844312 + ... + 624845288.

Almost surely, 2^610473369600 is an apocalyptic number.

610473369600 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 610473369600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132475530320).

610473369600 is an abundant number, since it is smaller than the sum of its proper divisors (1654477691040).

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

610473369600 is a wasteful number, since it uses less digits than its factorization.

610473369600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 610473369600 in words is "six hundred ten billion, four hundred seventy-three million, three hundred sixty-nine thousand, six hundred".