726184742400 has 1920 divisors, whose sum is σ = 3102901401600. Its totient is φ = 164826316800.

The previous prime is 726184742369. The next prime is 726184742411. The reversal of 726184742400 is 4247481627.

726184742400 is a `hidden beast` number, since 7 + 2 + 618 + 4 + 7 + 4 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4012070310 + ... + 4012070490.

It is an arithmetic number, because the mean of its divisors is an integer number (1616094480).

Almost surely, 2^726184742400 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 726184742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551450700800).

726184742400 is an abundant number, since it is smaller than the sum of its proper divisors (2376716659200).

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

726184742400 is a wasteful number, since it uses less digits than its factorization.

726184742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 726184742400 in words is "seven hundred twenty-six billion, one hundred eighty-four million, seven hundred forty-two thousand, four hundred".