687674489040 has 1920 divisors, whose sum is σ = 3186729369600. Its totient is φ = 133025587200.

The previous prime is 687674489017. The next prime is 687674489069. The reversal of 687674489040 is 40984476786.

687674489040 is a `hidden beast` number, since 6 + 8 + 7 + 67 + 448 + 90 + 40 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2537544105 + ... + 2537544375.

It is an arithmetic number, because the mean of its divisors is an integer number (1659754880).

Almost surely, 2^687674489040 is an apocalyptic number.

687674489040 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 687674489040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593364684800).

687674489040 is an abundant number, since it is smaller than the sum of its proper divisors (2499054880560).

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

687674489040 is a wasteful number, since it uses less digits than its factorization.

687674489040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 687674489040 in words is "six hundred eighty-seven billion, six hundred seventy-four million, four hundred eighty-nine thousand, forty".