687297062400 has 960 divisors, whose sum is σ = 2593139028480. Its totient is φ = 159075532800.

The previous prime is 687297062383. The next prime is 687297062447. The reversal of 687297062400 is 4260792786.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2209958245 + ... + 2209958555.

It is an arithmetic number, because the mean of its divisors is an integer number (2701186488).

Almost surely, 2^687297062400 is an apocalyptic number.

687297062400 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 687297062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296569514240).

687297062400 is an abundant number, since it is smaller than the sum of its proper divisors (1905841966080).

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

687297062400 is a wasteful number, since it uses less digits than its factorization.

687297062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 687297062400 in words is "six hundred eighty-seven billion, two hundred ninety-seven million, sixty-two thousand, four hundred".