687238731504 has 480 divisors, whose sum is σ = 2258020477440. Its totient is φ = 200761887744.

The previous prime is 687238731503. The next prime is 687238731547. The reversal of 687238731504 is 405137832786.

It is a happy number.

687238731504 is a `hidden beast` number, since 6 + 8 + 7 + 23 + 87 + 31 + 504 = 666.

It is a super-3 number, since 3×687238731504³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687238731503) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 161587042 + ... + 161591294.

It is an arithmetic number, because the mean of its divisors is an integer number (4704209328).

Almost surely, 2^687238731504 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 687238731504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129010238720).

687238731504 is an abundant number, since it is smaller than the sum of its proper divisors (1570781745936).

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

687238731504 is a wasteful number, since it uses less digits than its factorization.

687238731504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4451 (or 4433 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 687238731504 in words is "six hundred eighty-seven billion, two hundred thirty-eight million, seven hundred thirty-one thousand, five hundred four".