73268582400 has 1008 divisors, whose sum is σ = 295261883280. Its totient is φ = 17915904000.

The previous prime is 73268582393. The next prime is 73268582407. The reversal of 73268582400 is 428586237.

73268582400 is a `hidden beast` number, since 7 + 3 + 2 + 68 + 582 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (73268582393) and next prime (73268582407).

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 (73268582407) by changing a digit.

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 83 ways as a sum of consecutive naturals, for example, 485222325 + ... + 485222475.

It is an arithmetic number, because the mean of its divisors is an integer number (292918535).

Almost surely, 2^73268582400 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 73268582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147630941640).

73268582400 is an abundant number, since it is smaller than the sum of its proper divisors (221993300880).

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

73268582400 is a wasteful number, since it uses less digits than its factorization.

73268582400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 73268582400 in words is "seventy-three billion, two hundred sixty-eight million, five hundred eighty-two thousand, four hundred".