73981209600 has 264 divisors, whose sum is σ = 271682261520. Its totient is φ = 19728138240.

The previous prime is 73981209559. The next prime is 73981209611. The reversal of 73981209600 is 690218937.

73981209600 is a `hidden beast` number, since 7 + 39 + 8 + 1 + 2 + 0 + 9 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 637684 + ... + 744716.

Almost surely, 2^73981209600 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 73981209600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135841130760).

73981209600 is an abundant number, since it is smaller than the sum of its proper divisors (197701051920).

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

73981209600 is a wasteful number, since it uses less digits than its factorization.

73981209600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107072 (or 107043 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 73981209600 in words is "seventy-three billion, nine hundred eighty-one million, two hundred nine thousand, six hundred".