612688102704 has 320 divisors, whose sum is σ = 1828433925120. Its totient is φ = 196303564800.

The previous prime is 612688102673. The next prime is 612688102709. The reversal of 612688102704 is 407201886216.

612688102704 is a `hidden beast` number, since 612 + 6 + 8 + 8 + 1 + 0 + 27 + 0 + 4 = 666.

It is a super-2 number, since 2×612688102704² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 612688102704.

It is not an unprimeable number, because it can be changed into a prime (612688102709) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 316961322 + ... + 316963254.

It is an arithmetic number, because the mean of its divisors is an integer number (5713856016).

Almost surely, 2^612688102704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 612688102704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914216962560).

612688102704 is an abundant number, since it is smaller than the sum of its proper divisors (1215745822416).

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

612688102704 is a wasteful number, since it uses less digits than its factorization.

612688102704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 612688102704 in words is "six hundred twelve billion, six hundred eighty-eight million, one hundred two thousand, seven hundred four".