723740378400 has 720 divisors, whose sum is σ = 2885014972224. Its totient is φ = 175478814720.

The previous prime is 723740378377. The next prime is 723740378419. The reversal of 723740378400 is 4873047327.

723740378400 is a `hidden beast` number, since 7 + 237 + 4 + 0 + 3 + 7 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

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 119 ways as a sum of consecutive naturals, for example, 56434389 + ... + 56447211.

Almost surely, 2^723740378400 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 723740378400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442507486112).

723740378400 is an abundant number, since it is smaller than the sum of its proper divisors (2161274593824).

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

723740378400 is a wasteful number, since it uses less digits than its factorization.

723740378400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12935 (or 12913 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 723740378400 in words is "seven hundred twenty-three billion, seven hundred forty million, three hundred seventy-eight thousand, four hundred".