687225600000 has 1152 divisors, whose sum is σ = 2633428324800. Its totient is φ = 176947200000.

The previous prime is 687225599989. The next prime is 687225600167. The reversal of 687225600000 is 6522786.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7084799952 + ... + 7084800048.

Almost surely, 2^687225600000 is an apocalyptic number.

687225600000 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 687225600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316714162400).

687225600000 is an abundant number, since it is smaller than the sum of its proper divisors (1946202724800).

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

687225600000 is an frugal number, since it uses more digits than its factorization.

687225600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 687225600000 in words is "six hundred eighty-seven billion, two hundred twenty-five million, six hundred thousand".