1820733380928 has 1120 divisors, whose sum is σ = 7174407271680. Its totient is φ = 442005258240.

The previous prime is 1820733380909. The next prime is 1820733380971. The reversal of 1820733380928 is 8290833370281.

1820733380928 is a `hidden beast` number, since 1 + 8 + 207 + 33 + 380 + 9 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1065378538 + ... + 1065380246.

Almost surely, 2^{1820733380928} is an apocalyptic number.

1820733380928 is a gapful number since it is divisible by the number (18) 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 1820733380928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3587203635840).

1820733380928 is an abundant number, since it is smaller than the sum of its proper divisors (5353673890752).

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

1820733380928 is a wasteful number, since it uses less digits than its factorization.

1820733380928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 1820733380928 in words is "one trillion, eight hundred twenty billion, seven hundred thirty-three million, three hundred eighty thousand, nine hundred twenty-eight".