716300582400 has 1920 divisors, whose sum is σ = 3023339827200. Its totient is φ = 164826316800.

The previous prime is 716300582377. The next prime is 716300582401. The reversal of 716300582400 is 4285003617.

716300582400 is a `hidden beast` number, since 7 + 1 + 6 + 30 + 0 + 582 + 40 + 0 = 666.

716300582400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (716300582401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5153241531 + ... + 5153241669.

It is an arithmetic number, because the mean of its divisors is an integer number (1574656160).

Almost surely, 2^716300582400 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 716300582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511669913600).

716300582400 is an abundant number, since it is smaller than the sum of its proper divisors (2307039244800).

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

716300582400 is a wasteful number, since it uses less digits than its factorization.

716300582400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 716300582400 in words is "seven hundred sixteen billion, three hundred million, five hundred eighty-two thousand, four hundred".