681080797440 has 1728 divisors, whose sum is σ = 2804207750400. Its totient is φ = 155940028416.

The previous prime is 681080797433. The next prime is 681080797469. The reversal of 681080797440 is 44797080186.

It is a happy number.

681080797440 is a `hidden beast` number, since 6 + 8 + 108 + 0 + 7 + 97 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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, 7021451472 + ... + 7021451568.

Almost surely, 2^681080797440 is an apocalyptic number.

681080797440 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 681080797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402103875200).

681080797440 is an abundant number, since it is smaller than the sum of its proper divisors (2123126952960).

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

681080797440 is a wasteful number, since it uses less digits than its factorization.

681080797440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 681080797440 in words is "six hundred eighty-one billion, eighty million, seven hundred ninety-seven thousand, four hundred forty".