73068296000 has 224 divisors, whose sum is σ = 208197809664. Its totient is φ = 24883200000.

The previous prime is 73068295973. The next prime is 73068296011. The reversal of 73068296000 is 69286037.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8451680 + ... + 8460320.

Almost surely, 2^73068296000 is an apocalyptic number.

73068296000 is a gapful number since it is divisible by the number (70) 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 73068296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104098904832).

73068296000 is an abundant number, since it is smaller than the sum of its proper divisors (135129513664).

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

73068296000 is a wasteful number, since it uses less digits than its factorization.

73068296000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8826 (or 8806 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The spelling of 73068296000 in words is "seventy-three billion, sixty-eight million, two hundred ninety-six thousand".