8093733373440 has 1600 divisors, whose sum is σ = 34187874336000. Its totient is φ = 1804250972160.

The previous prime is 8093733373417. The next prime is 8093733373459. The reversal of 8093733373440 is 443733373908.

It is a happy number.

8093733373440 is a `hidden beast` number, since 80 + 93 + 7 + 3 + 3 + 37 + 3 + 440 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14796587247 + ... + 14796587793.

It is an arithmetic number, because the mean of its divisors is an integer number (21367421460).

Almost surely, 2^{8093733373440} is an apocalyptic number.

8093733373440 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 8093733373440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17093937168000).

8093733373440 is an abundant number, since it is smaller than the sum of its proper divisors (26094140962560).

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

8093733373440 is a wasteful number, since it uses less digits than its factorization.

8093733373440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 54.

The spelling of 8093733373440 in words is "eight trillion, ninety-three billion, seven hundred thirty-three million, three hundred seventy-three thousand, four hundred forty".