819727286400 has 576 divisors, whose sum is σ = 3329645192640. Its totient is φ = 190080000000.

The previous prime is 819727286381. The next prime is 819727286401. The reversal of 819727286400 is 4682727918.

It is a happy number.

819727286400 is a `hidden beast` number, since 8 + 1 + 97 + 2 + 72 + 86 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (819727286401) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 7230150 + ... + 7342650.

It is an arithmetic number, because the mean of its divisors is an integer number (5780634015).

Almost surely, 2^819727286400 is an apocalyptic number.

819727286400 is a gapful number since it is divisible by the number (80) 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 819727286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664822596320).

819727286400 is an abundant number, since it is smaller than the sum of its proper divisors (2509917906240).

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

819727286400 is a wasteful number, since it uses less digits than its factorization.

819727286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112565 (or 112545 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 819727286400 in words is "eight hundred nineteen billion, seven hundred twenty-seven million, two hundred eighty-six thousand, four hundred".