681509442240 has 1512 divisors, whose sum is σ = 2805417001296. Its totient is φ = 151658496000.

The previous prime is 681509442227. The next prime is 681509442373. The reversal of 681509442240 is 42244905186.

It is a happy number.

681509442240 is a `hidden beast` number, since 6 + 81 + 509 + 4 + 4 + 22 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 215 ways as a sum of consecutive naturals, for example, 6747618190 + ... + 6747618290.

Almost surely, 2^681509442240 is an apocalyptic number.

681509442240 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 681509442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402708500648).

681509442240 is an abundant number, since it is smaller than the sum of its proper divisors (2123907559056).

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

681509442240 is a wasteful number, since it uses less digits than its factorization.

681509442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 681509442240 in words is "six hundred eighty-one billion, five hundred nine million, four hundred forty-two thousand, two hundred forty".