1829841632640 has 1536 divisors, whose sum is σ = 7869947904000. Its totient is φ = 397464330240.

The previous prime is 1829841632623. The next prime is 1829841632651. The reversal of 1829841632640 is 462361489281.

1829841632640 is a `hidden beast` number, since 1 + 82 + 98 + 416 + 3 + 2 + 64 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 191 ways as a sum of consecutive naturals, for example, 1991122101 + ... + 1991123019.

It is an arithmetic number, because the mean of its divisors is an integer number (5123664000).

Almost surely, 2^{1829841632640} is an apocalyptic number.

1829841632640 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 1829841632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934973952000).

1829841632640 is an abundant number, since it is smaller than the sum of its proper divisors (6040106271360).

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

1829841632640 is an equidigital number, since it uses as much as digits as its factorization.

1829841632640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 1829841632640 in words is "one trillion, eight hundred twenty-nine billion, eight hundred forty-one million, six hundred thirty-two thousand, six hundred forty".