73348934400 has 2160 divisors, whose sum is σ = 347777115840. Its totient is φ = 14863564800.

The previous prime is 73348934363. The next prime is 73348934419. The reversal of 73348934400 is 443984337.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1788998380 + ... + 1788998420.

It is an arithmetic number, because the mean of its divisors is an integer number (161007924).

Almost surely, 2^73348934400 is an apocalyptic number.

73348934400 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 73348934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173888557920).

73348934400 is an abundant number, since it is smaller than the sum of its proper divisors (274428181440).

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

73348934400 is a wasteful number, since it uses less digits than its factorization.

73348934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 73348934400 in words is "seventy-three billion, three hundred forty-eight million, nine hundred thirty-four thousand, four hundred".