687484003752 has 192 divisors, whose sum is σ = 2317363776000. Its totient is φ = 179277069312.

The previous prime is 687484003673. The next prime is 687484003879. The reversal of 687484003752 is 257300484786.

687484003752 is a `hidden beast` number, since 6 + 87 + 484 + 0 + 0 + 37 + 52 = 666.

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, 6352 + ... + 1172607.

It is an arithmetic number, because the mean of its divisors is an integer number (12069603000).

Almost surely, 2^687484003752 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 687484003752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158681888000).

687484003752 is an abundant number, since it is smaller than the sum of its proper divisors (1629879772248).

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

687484003752 is a wasteful number, since it uses less digits than its factorization.

687484003752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179080 (or 1179073 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 687484003752 in words is "six hundred eighty-seven billion, four hundred eighty-four million, three thousand, seven hundred fifty-two".