73949452200 has 960 divisors, whose sum is σ = 292801259520. Its totient is φ = 17169408000.

The previous prime is 73949452147. The next prime is 73949452217. The reversal of 73949452200 is 225494937.

73949452200 is a `hidden beast` number, since 7 + 39 + 4 + 94 + 522 + 0 + 0 = 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 239 ways as a sum of consecutive naturals, for example, 306844080 + ... + 306844320.

It is an arithmetic number, because the mean of its divisors is an integer number (305001312).

Almost surely, 2^73949452200 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 73949452200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146400629760).

73949452200 is an abundant number, since it is smaller than the sum of its proper divisors (218851807320).

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

73949452200 is a wasteful number, since it uses less digits than its factorization.

73949452200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 73949452200 in words is "seventy-three billion, nine hundred forty-nine million, four hundred fifty-two thousand, two hundred".