681120075018240 has 6656 divisors, whose sum is σ = 3152276338176000. Its totient is φ = 138694895861760.

The previous prime is 681120075018193. The next prime is 681120075018247. The reversal of 681120075018240 is 42810570021186.

681120075018240 is a `hidden beast` number, since 6 + 8 + 1 + 1 + 20 + 0 + 7 + 501 + 82 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (6656).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681120075018247) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 3529119559584 + ... + 3529119559776.

Almost surely, 2^{681120075018240} is an apocalyptic number.

681120075018240 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 681120075018240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576138169088000).

681120075018240 is an abundant number, since it is smaller than the sum of its proper divisors (2471156263157760).

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

681120075018240 is a wasteful number, since it uses less digits than its factorization.

681120075018240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 681120075018240 in words is "six hundred eighty-one trillion, one hundred twenty billion, seventy-five million, eighteen thousand, two hundred forty".