612040665600 has 1800 divisors, whose sum is σ = 2808883836000. Its totient is φ = 128875069440.

The previous prime is 612040665527. The next prime is 612040665619. The reversal of 612040665600 is 6566040216.

It is a happy number.

612040665600 is a `hidden beast` number, since 6 + 1 + 2 + 0 + 40 + 6 + 6 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1226534151 + ... + 1226534649.

It is an arithmetic number, because the mean of its divisors is an integer number (1560491020).

Almost surely, 2^612040665600 is an apocalyptic number.

612040665600 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 612040665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404441918000).

612040665600 is an abundant number, since it is smaller than the sum of its proper divisors (2196843170400).

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

612040665600 is a wasteful number, since it uses less digits than its factorization.

612040665600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 612040665600 in words is "six hundred twelve billion, forty million, six hundred sixty-five thousand, six hundred".