73966233600 has 864 divisors, whose sum is σ = 316221010560. Its totient is φ = 16155279360.

The previous prime is 73966233587. The next prime is 73966233629. The reversal of 73966233600 is 633266937.

73966233600 is a `hidden beast` number, since 7 + 3 + 9 + 6 + 6 + 2 + 33 + 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74188302 + ... + 74189298.

It is an arithmetic number, because the mean of its divisors is an integer number (365996540).

Almost surely, 2^73966233600 is an apocalyptic number.

73966233600 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 73966233600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158110505280).

73966233600 is an abundant number, since it is smaller than the sum of its proper divisors (242254776960).

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

73966233600 is a wasteful number, since it uses less digits than its factorization.

73966233600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 45.

The spelling of 73966233600 in words is "seventy-three billion, nine hundred sixty-six million, two hundred thirty-three thousand, six hundred".