8291745792000 has 1680 divisors, whose sum is σ = 34202150446464. Its totient is φ = 1981808640000.

The previous prime is 8291745791999. The next prime is 8291745792017. The reversal of 8291745792000 is 2975471928.

8291745792000 is a `hidden beast` number, since 82 + 91 + 7 + 457 + 9 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 116785151965 + ... + 116785152035.

Almost surely, 2^{8291745792000} is an apocalyptic number.

8291745792000 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 8291745792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17101075223232).

8291745792000 is an abundant number, since it is smaller than the sum of its proper divisors (25910404654464).

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

8291745792000 is an frugal number, since it uses more digits than its factorization.

8291745792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 8291745792000 in words is "eight trillion, two hundred ninety-one billion, seven hundred forty-five million, seven hundred ninety-two thousand".