681445362240 has 448 divisors, whose sum is σ = 2444713017600. Its totient is φ = 178665357312.

The previous prime is 681445362223. The next prime is 681445362293. The reversal of 681445362240 is 42263544186.

681445362240 is a `hidden beast` number, since 6 + 8 + 1 + 4 + 45 + 362 + 240 = 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 63 ways as a sum of consecutive naturals, for example, 131575971 + ... + 131581149.

It is an arithmetic number, because the mean of its divisors is an integer number (5456948700).

Almost surely, 2^681445362240 is an apocalyptic number.

681445362240 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 681445362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222356508800).

681445362240 is an abundant number, since it is smaller than the sum of its proper divisors (1763267655360).

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

681445362240 is a wasteful number, since it uses less digits than its factorization.

681445362240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5459 (or 5443 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 681445362240 in words is "six hundred eighty-one billion, four hundred forty-five million, three hundred sixty-two thousand, two hundred forty".