1827468720 has 720 divisors, whose sum is σ = 8276175648. Its totient is φ = 356106240.

The previous prime is 1827468701. The next prime is 1827468767. The reversal of 1827468720 is 278647281.

1827468720 is a `hidden beast` number, since 182 + 7 + 468 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 6597222 + ... + 6597498.

Almost surely, 2^1827468720 is an apocalyptic number.

1827468720 is a gapful number since it is divisible by the number (10) 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 1827468720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4138087824).

1827468720 is an abundant number, since it is smaller than the sum of its proper divisors (6448706928).

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

1827468720 is a wasteful number, since it uses less digits than its factorization.

1827468720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 1827468720 is about 42748.9031438235. The cubic root of 1827468720 is about 1222.5969762608.

The spelling of 1827468720 in words is "one billion, eight hundred twenty-seven million, four hundred sixty-eight thousand, seven hundred twenty".