687605892480 has 1152 divisors, whose sum is σ = 2798390293920. Its totient is φ = 154857111552.

The previous prime is 687605892439. The next prime is 687605892557. The reversal of 687605892480 is 84298506786.

687605892480 is a `hidden beast` number, since 6 + 8 + 7 + 6 + 0 + 589 + 2 + 48 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 612293199 + ... + 612294321.

Almost surely, 2^687605892480 is an apocalyptic number.

687605892480 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 687605892480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399195146960).

687605892480 is an abundant number, since it is smaller than the sum of its proper divisors (2110784401440).

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

687605892480 is a wasteful number, since it uses less digits than its factorization.

687605892480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 687605892480 in words is "six hundred eighty-seven billion, six hundred five million, eight hundred ninety-two thousand, four hundred eighty".