8040673380600 has 480 divisors, whose sum is σ = 32658193729920. Its totient is φ = 1795125991680.

The previous prime is 8040673380533. The next prime is 8040673380611. The reversal of 8040673380600 is 60833760408.

8040673380600 is a `hidden beast` number, since 8 + 0 + 4 + 0 + 6 + 7 + 3 + 38 + 0 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4051719 + ... + 5700681.

It is an arithmetic number, because the mean of its divisors is an integer number (68037903604).

Almost surely, 2^{8040673380600} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8040673380600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329096864960).

8040673380600 is an abundant number, since it is smaller than the sum of its proper divisors (24617520349320).

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

8040673380600 is a wasteful number, since it uses less digits than its factorization.

8040673380600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649041 (or 1649023 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 8040673380600 in words is "eight trillion, forty billion, six hundred seventy-three million, three hundred eighty thousand, six hundred".