687845272464 has 400 divisors, whose sum is σ = 2350922745600. Its totient is φ = 190093962240.

The previous prime is 687845272399. The next prime is 687845272507. The reversal of 687845272464 is 464272548786.

It is a happy number.

687845272464 is a `hidden beast` number, since 6 + 8 + 7 + 84 + 527 + 24 + 6 + 4 = 666.

It is a super-2 number, since 2×687845272464² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34127862 + ... + 34148010.

It is an arithmetic number, because the mean of its divisors is an integer number (5877306864).

Almost surely, 2^687845272464 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 687845272464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175461372800).

687845272464 is an abundant number, since it is smaller than the sum of its proper divisors (1663077473136).

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

687845272464 is a wasteful number, since it uses less digits than its factorization.

687845272464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20300 (or 20285 counting only the distinct ones).

The product of its digits is 144506880, while the sum is 63.

The spelling of 687845272464 in words is "six hundred eighty-seven billion, eight hundred forty-five million, two hundred seventy-two thousand, four hundred sixty-four".