1838263680 has 512 divisors, whose sum is σ = 7490880000. Its totient is φ = 421355520.

The previous prime is 1838263613. The next prime is 1838263709. The reversal of 1838263680 is 863628381.

1838263680 is a `hidden beast` number, since 1 + 8 + 3 + 8 + 2 + 636 + 8 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 3611266 + ... + 3611774.

It is an arithmetic number, because the mean of its divisors is an integer number (14630625).

Almost surely, 2^1838263680 is an apocalyptic number.

1838263680 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 1838263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3745440000).

1838263680 is an abundant number, since it is smaller than the sum of its proper divisors (5652616320).

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

1838263680 is a wasteful number, since it uses less digits than its factorization.

1838263680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 1838263680 is about 42874.9773177783. The cubic root of 1838263680 is about 1224.9995679576. Note that the first 3 decimals are identical.

The spelling of 1838263680 in words is "one billion, eight hundred thirty-eight million, two hundred sixty-three thousand, six hundred eighty".