73281322598400 has 4320 divisors, whose sum is σ = 345014427663360. Its totient is φ = 15023241953280.

The previous prime is 73281322598399. The next prime is 73281322598401. The reversal of 73281322598400 is 489522318237.

73281322598400 is a `hidden beast` number, since 7 + 3 + 2 + 8 + 1 + 3 + 2 + 2 + 598 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (73281322598399) and next prime (73281322598401).

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73281322598401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 272421273466 + ... + 272421273734.

It is an arithmetic number, because the mean of its divisors is an integer number (79864450848).

Almost surely, 2^{73281322598400} is an apocalyptic number.

73281322598400 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 73281322598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172507213831680).

73281322598400 is an abundant number, since it is smaller than the sum of its proper divisors (271733105064960).

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

73281322598400 is a wasteful number, since it uses less digits than its factorization.

73281322598400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 73281322598400 in words is "seventy-three trillion, two hundred eighty-one billion, three hundred twenty-two million, five hundred ninety-eight thousand, four hundred".