1801578672 has 240 divisors, whose sum is σ = 5613203232. Its totient is φ = 557383680.

The previous prime is 1801578643. The next prime is 1801578677. The reversal of 1801578672 is 2768751081.

It is a happy number.

1801578672 is a `hidden beast` number, since 1 + 8 + 0 + 1 + 578 + 6 + 72 = 666.

It is a super-2 number, since 2×1801578672² = 6491371422810567168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1801578677) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6411172 + ... + 6411452.

Almost surely, 2^1801578672 is an apocalyptic number.

1801578672 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 1801578672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2806601616).

1801578672 is an abundant number, since it is smaller than the sum of its proper divisors (3811624560).

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

1801578672 is a wasteful number, since it uses less digits than its factorization.

1801578672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The square root of 1801578672 is about 42445.0076216273. The cubic root of 1801578672 is about 1216.7959174962.

The spelling of 1801578672 in words is "one billion, eight hundred one million, five hundred seventy-eight thousand, six hundred seventy-two".