73829280000 has 1080 divisors, whose sum is σ = 296272387488. Its totient is φ = 16257024000.

The previous prime is 73829279981. The next prime is 73829280023. The reversal of 73829280000 is 8292837.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1011359964 + ... + 1011360036.

Almost surely, 2^73829280000 is an apocalyptic number.

73829280000 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 73829280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148136193744).

73829280000 is an abundant number, since it is smaller than the sum of its proper divisors (222443107488).

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

73829280000 is an equidigital number, since it uses as much as digits as its factorization.

73829280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 73829280000 in words is "seventy-three billion, eight hundred twenty-nine million, two hundred eighty thousand".