73477216800 has 1152 divisors, whose sum is σ = 309100216320. Its totient is φ = 16696627200.

The previous prime is 73477216789. The next prime is 73477216817. The reversal of 73477216800 is 861277437.

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 191 ways as a sum of consecutive naturals, for example, 200210217 + ... + 200210583.

It is an arithmetic number, because the mean of its divisors is an integer number (268316160).

Almost surely, 2^73477216800 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 73477216800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154550108160).

73477216800 is an abundant number, since it is smaller than the sum of its proper divisors (235622999520).

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

73477216800 is a wasteful number, since it uses less digits than its factorization.

73477216800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 73477216800 in words is "seventy-three billion, four hundred seventy-seven million, two hundred sixteen thousand, eight hundred".