687373853795200 has 1152 divisors, whose sum is σ = 2137129283409120. Its totient is φ = 216247173120000.

The previous prime is 687373853795137. The next prime is 687373853795327. The reversal of 687373853795200 is 2597358373786.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20622642535 + ... + 20622675865.

Almost surely, 2^{687373853795200} 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 687373853795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068564641704560).

687373853795200 is an abundant number, since it is smaller than the sum of its proper divisors (1449755429613920).

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

687373853795200 is a wasteful number, since it uses less digits than its factorization.

687373853795200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33648 (or 33620 counting only the distinct ones).

The product of its (nonzero) digits is 1600300800, while the sum is 73.

The spelling of 687373853795200 in words is "six hundred eighty-seven trillion, three hundred seventy-three billion, eight hundred fifty-three million, seven hundred ninety-five thousand, two hundred".