687602496672 has 1152 divisors, whose sum is σ = 2650572288000. Its totient is φ = 170272751616.

The previous prime is 687602496667. The next prime is 687602496673. The reversal of 687602496672 is 276694206786.

687602496672 is a `hidden beast` number, since 6 + 8 + 76 + 0 + 2 + 496 + 6 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (687602496673) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2675495968 + ... + 2675496224.

It is an arithmetic number, because the mean of its divisors is an integer number (2300844000).

Almost surely, 2^687602496672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687602496672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325286144000).

687602496672 is an abundant number, since it is smaller than the sum of its proper divisors (1962969791328).

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

687602496672 is a wasteful number, since it uses less digits than its factorization.

687602496672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 687602496672 in words is "six hundred eighty-seven billion, six hundred two million, four hundred ninety-six thousand, six hundred seventy-two".