73838881200 has 240 divisors, whose sum is σ = 286222394880. Its totient is φ = 15884636160.

The previous prime is 73838881187. The next prime is 73838881201. The reversal of 73838881200 is 218883837.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 73838881200.

It is not an unprimeable number, because it can be changed into a prime (73838881201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115740 + ... + 401339.

It is an arithmetic number, because the mean of its divisors is an integer number (1192593312).

Almost surely, 2^73838881200 is an apocalyptic number.

73838881200 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 73838881200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143111197440).

73838881200 is an abundant number, since it is smaller than the sum of its proper divisors (212383513680).

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

73838881200 is a wasteful number, since it uses less digits than its factorization.

73838881200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517124 (or 517113 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 73838881200 in words is "seventy-three billion, eight hundred thirty-eight million, eight hundred eighty-one thousand, two hundred".