1830826976384 has 64 divisors (see below), whose sum is σ = 4172324231040. Its totient is φ = 783901587456.

The previous prime is 1830826976383. The next prime is 1830826976411. The reversal of 1830826976384 is 4836796280381.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 1830826976384.

It is not an unprimeable number, because it can be changed into a prime (1830826976383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8669 + ... + 1913564.

It is an arithmetic number, because the mean of its divisors is an integer number (65192566110).

Almost surely, 2^{1830826976384} is an apocalyptic number.

1830826976384 is a gapful number since it is divisible by the number (14) 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 1830826976384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2086162115520).

1830826976384 is an abundant number, since it is smaller than the sum of its proper divisors (2341497254656).

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

1830826976384 is a wasteful number, since it uses less digits than its factorization.

1830826976384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923317 (or 1923305 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 65.

The spelling of 1830826976384 in words is "one trillion, eight hundred thirty billion, eight hundred twenty-six million, nine hundred seventy-six thousand, three hundred eighty-four".