20832657408 has 224 divisors, whose sum is σ = 62423161920. Its totient is φ = 6865551360.

The previous prime is 20832657397. The next prime is 20832657409. The reversal of 20832657408 is 80475623802.

20832657408 is a `hidden beast` number, since 208 + 32 + 6 + 5 + 7 + 408 = 666.

It is a super-2 number, since 2×20832657408² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20832657409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21454363 + ... + 21455333.

It is an arithmetic number, because the mean of its divisors is an integer number (278674830).

Almost surely, 2^20832657408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20832657408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31211580960).

20832657408 is an abundant number, since it is smaller than the sum of its proper divisors (41590504512).

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

20832657408 is an frugal number, since it uses more digits than its factorization.

20832657408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1073 counting only the distinct ones).

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

The spelling of 20832657408 in words is "twenty billion, eight hundred thirty-two million, six hundred fifty-seven thousand, four hundred eight".