73969280000 has 880 divisors, whose sum is σ = 245561395200. Its totient is φ = 21565440000.

The previous prime is 73969279999. The next prime is 73969280003. The reversal of 73969280000 is 8296937.

It is a tau number, because it is divible by the number of its divisors (880).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (73969280003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 936319961 + ... + 936320039.

It is an arithmetic number, because the mean of its divisors is an integer number (279047040).

Almost surely, 2^73969280000 is an apocalyptic number.

73969280000 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 73969280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122780697600).

73969280000 is an abundant number, since it is smaller than the sum of its proper divisors (171592115200).

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

73969280000 is a wasteful number, since it uses less digits than its factorization.

73969280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 44.

The spelling of 73969280000 in words is "seventy-three billion, nine hundred sixty-nine million, two hundred eighty thousand".