687494924064 has 288 divisors, whose sum is σ = 2156633519040. Its totient is φ = 206404982784.

The previous prime is 687494924033. The next prime is 687494924099. The reversal of 687494924064 is 460429494786.

687494924064 is a `hidden beast` number, since 6 + 8 + 7 + 49 + 492 + 40 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×687494924064² (a number of 24 digits) contains 22 as substring.

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 junction number, because it is equal to n+sod(n) for n = 687494923992 and 687494924010.

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, 233919907 + ... + 233922845.

It is an arithmetic number, because the mean of its divisors is an integer number (7488310830).

Almost surely, 2^687494924064 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 687494924064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078316759520).

687494924064 is an abundant number, since it is smaller than the sum of its proper divisors (1469138594976).

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

687494924064 is a wasteful number, since it uses less digits than its factorization.

687494924064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4464 (or 4453 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 687494924064 in words is "six hundred eighty-seven billion, four hundred ninety-four million, nine hundred twenty-four thousand, sixty-four".