73261324800 has 600 divisors, whose sum is σ = 285493111200. Its totient is φ = 18503147520.

The previous prime is 73261324723. The next prime is 73261324811. The reversal of 73261324800 is 842316237.

It is a happy number.

73261324800 is a `hidden beast` number, since 7 + 32 + 613 + 2 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×73261324800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 19697341 + ... + 19701059.

It is an arithmetic number, because the mean of its divisors is an integer number (475821852).

Almost surely, 2^73261324800 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 73261324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142746555600).

73261324800 is an abundant number, since it is smaller than the sum of its proper divisors (212231786400).

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

73261324800 is a wasteful number, since it uses less digits than its factorization.

73261324800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3778 (or 3748 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 73261324800 in words is "seventy-three billion, two hundred sixty-one million, three hundred twenty-four thousand, eight hundred".