1827795456 has 280 divisors, whose sum is σ = 5635420560. Its totient is φ = 591722496.

The previous prime is 1827795427. The next prime is 1827795479. The reversal of 1827795456 is 6545977281.

1827795456 is a `hidden beast` number, since 1 + 8 + 27 + 79 + 545 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (4233600) is a multiple of the sum of its prime divisors (147).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 22021591 + ... + 22021673.

It is an arithmetic number, because the mean of its divisors is an integer number (20126502).

Almost surely, 2^1827795456 is an apocalyptic number.

1827795456 is a gapful number since it is divisible by the number (16) 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 1827795456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2817710280).

1827795456 is an abundant number, since it is smaller than the sum of its proper divisors (3807625104).

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

1827795456 is an frugal number, since it uses more digits than its factorization.

1827795456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 147 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 54.

The square root of 1827795456 is about 42752.7245447585. The cubic root of 1827795456 is about 1222.6698352627.

The spelling of 1827795456 in words is "one billion, eight hundred twenty-seven million, seven hundred ninety-five thousand, four hundred fifty-six".