73823846400 has 1152 divisors, whose sum is σ = 304250169600. Its totient is φ = 16986931200.

The previous prime is 73823846377. The next prime is 73823846401. The reversal of 73823846400 is 464832837.

73823846400 is a `hidden beast` number, since 7 + 3 + 8 + 238 + 4 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73823846401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2381414385 + ... + 2381414415.

It is an arithmetic number, because the mean of its divisors is an integer number (264106050).

Almost surely, 2^73823846400 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 73823846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152125084800).

73823846400 is an abundant number, since it is smaller than the sum of its proper divisors (230426323200).

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

73823846400 is a wasteful number, since it uses less digits than its factorization.

73823846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 73823846400 in words is "seventy-three billion, eight hundred twenty-three million, eight hundred forty-six thousand, four hundred".