20832675840 has 288 divisors, whose sum is σ = 76455255240. Its totient is φ = 5228199936.

The previous prime is 20832675827. The next prime is 20832675847. The reversal of 20832675840 is 4857623802.

20832675840 is a `hidden beast` number, since 2 + 0 + 8 + 3 + 2 + 67 + 584 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12637357056 + 8195318784 = 112416^2 + 90528^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (20832675847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1560072 + ... + 1573368.

Almost surely, 2^20832675840 is an apocalyptic number.

20832675840 is a gapful number since it is divisible by the number (20) 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 20832675840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38227627620).

20832675840 is an abundant number, since it is smaller than the sum of its proper divisors (55622579400).

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

20832675840 is a wasteful number, since it uses less digits than its factorization.

20832675840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13347 (or 13324 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 20832675840 in words is "twenty billion, eight hundred thirty-two million, six hundred seventy-five thousand, eight hundred forty".