73213761600 has 1344 divisors, whose sum is σ = 320251328000. Its totient is φ = 16460236800.

The previous prime is 73213761571. The next prime is 73213761613. The reversal of 73213761600 is 616731237.

73213761600 is a `hidden beast` number, since 7 + 3 + 2 + 1 + 37 + 616 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×73213761600³ (a number of 34 digits) contains 333 as substring.

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

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 1200225570 + ... + 1200225630.

Almost surely, 2^73213761600 is an apocalyptic number.

73213761600 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 73213761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160125664000).

73213761600 is an abundant number, since it is smaller than the sum of its proper divisors (247037566400).

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

73213761600 is an frugal number, since it uses more digits than its factorization.

73213761600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 73213761600 in words is "seventy-three billion, two hundred thirteen million, seven hundred sixty-one thousand, six hundred".