682078753600 has 42 divisors (see below), whose sum is σ = 1678340037014. Its totient is φ = 272831500800.

The previous prime is 682078753469. The next prime is 682078753607. The reversal of 682078753600 is 6357870286.

It can be written as a sum of positive squares in 3 ways, for example, as 22396918336 + 659681835264 = 149656^2 + 812208^2 .

It is a super-2 number, since 2×682078753600² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682078753607) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 213148011 + ... + 213151210.

Almost surely, 2^682078753600 is an apocalyptic number.

It is an amenable number.

682078753600 is an abundant number, since it is smaller than the sum of its proper divisors (996261283414).

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

682078753600 is a wasteful number, since it uses less digits than its factorization.

682078753600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426299243 (or 426299228 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 52.

The spelling of 682078753600 in words is "six hundred eighty-two billion, seventy-eight million, seven hundred fifty-three thousand, six hundred".