1836452772 has 432 divisors, whose sum is σ = 6310047744. Its totient is φ = 444528000.

The previous prime is 1836452759. The next prime is 1836452831. The reversal of 1836452772 is 2772546381.

1836452772 is a `hidden beast` number, since 18 + 364 + 5 + 277 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (564480) is a multiple of the sum of its prime divisors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25865497 + ... + 25865567.

It is an arithmetic number, because the mean of its divisors is an integer number (14606592).

Almost surely, 2^1836452772 is an apocalyptic number.

1836452772 is a gapful number since it is divisible by the number (12) 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 1836452772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3155023872).

1836452772 is an abundant number, since it is smaller than the sum of its proper divisors (4473594972).

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

1836452772 is a wasteful number, since it uses less digits than its factorization.

1836452772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 168 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 1836452772 is about 42853.8536423505. The cubic root of 1836452772 is about 1224.5971791182.

The spelling of 1836452772 in words is "one billion, eight hundred thirty-six million, four hundred fifty-two thousand, seven hundred seventy-two".