687456413280 has 1152 divisors, whose sum is σ = 3038834050560. Its totient is φ = 143863050240.

The previous prime is 687456413243. The next prime is 687456413321. The reversal of 687456413280 is 82314654786.

It is a happy number.

687456413280 is a `hidden beast` number, since 6 + 8 + 74 + 564 + 1 + 3 + 2 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 360490087 + ... + 360491993.

It is an arithmetic number, because the mean of its divisors is an integer number (2637876780).

Almost surely, 2^687456413280 is an apocalyptic number.

687456413280 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687456413280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519417025280).

687456413280 is an abundant number, since it is smaller than the sum of its proper divisors (2351377637280).

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

687456413280 is a wasteful number, since it uses less digits than its factorization.

687456413280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 687456413280 in words is "six hundred eighty-seven billion, four hundred fifty-six million, four hundred thirteen thousand, two hundred eighty".