687625963200 has 378 divisors, whose sum is σ = 2686370517012. Its totient is φ = 166696780800.

The previous prime is 687625963187. The next prime is 687625963217. The reversal of 687625963200 is 2369526786.

687625963200 is a `hidden beast` number, since 6 + 8 + 7 + 625 + 9 + 6 + 3 + 2 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1545079 + ... + 1939721.

Almost surely, 2^687625963200 is an apocalyptic number.

687625963200 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 687625963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343185258506).

687625963200 is an abundant number, since it is smaller than the sum of its proper divisors (1998744553812).

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

687625963200 is a wasteful number, since it uses less digits than its factorization.

687625963200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394693 (or 394664 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 687625963200 in words is "six hundred eighty-seven billion, six hundred twenty-five million, nine hundred sixty-three thousand, two hundred".