687647253384 has 896 divisors, whose sum is σ = 2509038336000. Its totient is φ = 175301521920.

The previous prime is 687647253383. The next prime is 687647253407. The reversal of 687647253384 is 483352746786.

687647253384 is a `hidden beast` number, since 6 + 87 + 6 + 472 + 5 + 3 + 3 + 84 = 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 (687647253383) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 806151102 + ... + 806151954.

It is an arithmetic number, because the mean of its divisors is an integer number (2800266000).

Almost surely, 2^687647253384 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 687647253384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254519168000).

687647253384 is an abundant number, since it is smaller than the sum of its proper divisors (1821391082616).

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

687647253384 is a wasteful number, since it uses less digits than its factorization.

687647253384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 909 counting only the distinct ones).

The product of its digits is 162570240, while the sum is 63.

The spelling of 687647253384 in words is "six hundred eighty-seven billion, six hundred forty-seven million, two hundred fifty-three thousand, three hundred eighty-four".