716160803400 has 1728 divisors, whose sum is σ = 3056429376000. Its totient is φ = 155196518400.

The previous prime is 716160803399. The next prime is 716160803419. The reversal of 716160803400 is 4308061617.

716160803400 is a `hidden beast` number, since 7 + 1 + 6 + 1 + 608 + 0 + 3 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 6570282546 + ... + 6570282654.

It is an arithmetic number, because the mean of its divisors is an integer number (1768767000).

Almost surely, 2^716160803400 is an apocalyptic number.

716160803400 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 716160803400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528214688000).

716160803400 is an abundant number, since it is smaller than the sum of its proper divisors (2340268572600).

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

716160803400 is a wasteful number, since it uses less digits than its factorization.

716160803400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 716160803400 in words is "seven hundred sixteen billion, one hundred sixty million, eight hundred three thousand, four hundred".