8073468000 has 432 divisors, whose sum is σ = 31049718336. Its totient is φ = 1985817600.

The previous prime is 8073467999. The next prime is 8073468031. The reversal of 8073468000 is 8643708.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6083337 + ... + 6084663.

It is an arithmetic number, because the mean of its divisors is an integer number (71874348).

Almost surely, 2^8073468000 is an apocalyptic number.

8073468000 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 8073468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15524859168).

8073468000 is an abundant number, since it is smaller than the sum of its proper divisors (22976250336).

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

8073468000 is a wasteful number, since it uses less digits than its factorization.

8073468000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 8073468000 is about 89852.4790976854. The cubic root of 8073468000 is about 2006.1036868871.

The spelling of 8073468000 in words is "eight billion, seventy-three million, four hundred sixty-eight thousand".