7273346400 has 360 divisors, whose sum is σ = 26797894200. Its totient is φ = 1919600640.

The previous prime is 7273346393. The next prime is 7273346411. The reversal of 7273346400 is 46433727.

It is a happy number.

7273346400 is a `hidden beast` number, since 7 + 2 + 7 + 3 + 3 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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, 6933076 + ... + 6934124.

It is an arithmetic number, because the mean of its divisors is an integer number (74438595).

Almost surely, 2^7273346400 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 7273346400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13398947100).

7273346400 is an abundant number, since it is smaller than the sum of its proper divisors (19524547800).

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

7273346400 is a wasteful number, since it uses less digits than its factorization.

7273346400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 7273346400 is about 85283.9164203896. The cubic root of 7273346400 is about 1937.5135893601.

The spelling of 7273346400 in words is "seven billion, two hundred seventy-three million, three hundred forty-six thousand, four hundred".