81792073728000 has 1344 divisors, whose sum is σ = 308950132523760. Its totient is φ = 21607376486400.

The previous prime is 81792073727983. The next prime is 81792073728017. The reversal of 81792073728000 is 82737029718.

81792073728000 is a `hidden beast` number, since 8 + 179 + 20 + 7 + 372 + 80 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (81792073727983) and next prime (81792073728017).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 764411903947 + ... + 764411904053.

Almost surely, 2^{81792073728000} is an apocalyptic number.

81792073728000 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 81792073728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154475066261880).

81792073728000 is an abundant number, since it is smaller than the sum of its proper divisors (227158058795760).

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

81792073728000 is an frugal number, since it uses more digits than its factorization.

81792073728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 81792073728000 in words is "eighty-one trillion, seven hundred ninety-two billion, seventy-three million, seven hundred twenty-eight thousand".