687125404560 has 240 divisors, whose sum is σ = 2544829102656. Its totient is φ = 152812348416.

The previous prime is 687125404519. The next prime is 687125404583. The reversal of 687125404560 is 65404521786.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 354462 + ... + 1224701.

Almost surely, 2^687125404560 is an apocalyptic number.

687125404560 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 687125404560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272414551328).

687125404560 is an abundant number, since it is smaller than the sum of its proper divisors (1857703698096).

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

687125404560 is a wasteful number, since it uses less digits than its factorization.

687125404560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579230 (or 1579217 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 687125404560 in words is "six hundred eighty-seven billion, one hundred twenty-five million, four hundred four thousand, five hundred sixty".