81968070623040 has 896 divisors, whose sum is σ = 368330736844800. Its totient is φ = 16705386086400.

The previous prime is 81968070623027. The next prime is 81968070623077. The reversal of 81968070623040 is 4032607086918.

81968070623040 is a `hidden beast` number, since 8 + 1 + 9 + 6 + 8 + 0 + 7 + 0 + 623 + 0 + 4 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 17437065 + ... + 21633015.

Almost surely, 2^{81968070623040} is an apocalyptic number.

81968070623040 is a gapful number since it is divisible by the number (80) 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 81968070623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184165368422400).

81968070623040 is an abundant number, since it is smaller than the sum of its proper divisors (286362666221760).

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

81968070623040 is a wasteful number, since it uses less digits than its factorization.

81968070623040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4196020 (or 4196004 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 81968070623040 in words is "eighty-one trillion, nine hundred sixty-eight billion, seventy million, six hundred twenty-three thousand, forty".