1831668480 has 432 divisors, whose sum is σ = 6856851456. Its totient is φ = 450109440.

The previous prime is 1831668439. The next prime is 1831668493. The reversal of 1831668480 is 848661381.

It is a happy number.

1831668480 is a `hidden beast` number, since 1 + 8 + 3 + 166 + 8 + 480 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8213649 + ... + 8213871.

Almost surely, 2^1831668480 is an apocalyptic number.

1831668480 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 1831668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3428425728).

1831668480 is an abundant number, since it is smaller than the sum of its proper divisors (5025182976).

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

1831668480 is a wasteful number, since it uses less digits than its factorization.

1831668480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 1831668480 is about 42797.9962147762. The cubic root of 1831668480 is about 1223.5328218376.

The spelling of 1831668480 in words is "one billion, eight hundred thirty-one million, six hundred sixty-eight thousand, four hundred eighty".