8492326796800 has 480 divisors, whose sum is σ = 26297576490240. Its totient is φ = 2640361881600.

The previous prime is 8492326796797. The next prime is 8492326796813. The reversal of 8492326796800 is 86976232948.

It is a super-2 number, since 2×8492326796800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 403099867 + ... + 403120933.

It is an arithmetic number, because the mean of its divisors is an integer number (54786617688).

Almost surely, 2^{8492326796800} is an apocalyptic number.

8492326796800 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 8492326796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13148788245120).

8492326796800 is an abundant number, since it is smaller than the sum of its proper divisors (17805249693440).

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

8492326796800 is a wasteful number, since it uses less digits than its factorization.

8492326796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21522 (or 21501 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 64.

The spelling of 8492326796800 in words is "eight trillion, four hundred ninety-two billion, three hundred twenty-six million, seven hundred ninety-six thousand, eight hundred".