687254495040 has 336 divisors, whose sum is σ = 2442248380416. Its totient is φ = 177201561600.

The previous prime is 687254495033. The next prime is 687254495087. The reversal of 687254495040 is 40594452786.

687254495040 is a `hidden beast` number, since 6 + 8 + 7 + 2 + 544 + 9 + 50 + 40 = 666.

It is a congruent number.

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, 131328264 + ... + 131333496.

Almost surely, 2^687254495040 is an apocalyptic number.

687254495040 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 687254495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221124190208).

687254495040 is an abundant number, since it is smaller than the sum of its proper divisors (1754993885376).

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

687254495040 is a wasteful number, since it uses less digits than its factorization.

687254495040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6758 (or 6745 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 687254495040 in words is "six hundred eighty-seven billion, two hundred fifty-four million, four hundred ninety-five thousand, forty".