32798263680 has 768 divisors, whose sum is σ = 142348752000. Its totient is φ = 6914654208.

The previous prime is 32798263679. The next prime is 32798263699. The reversal of 32798263680 is 8636289723.

It is a happy number.

32798263680 is a `hidden beast` number, since 3 + 279 + 8 + 2 + 6 + 368 + 0 = 666.

It is a super-2 number, since 2×32798263680² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25683202 + ... + 25684478.

Almost surely, 2^32798263680 is an apocalyptic number.

32798263680 is a gapful number since it is divisible by the number (30) 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 32798263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71174376000).

32798263680 is an abundant number, since it is smaller than the sum of its proper divisors (109550488320).

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

32798263680 is a wasteful number, since it uses less digits than its factorization.

32798263680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 32798263680 in words is "thirty-two billion, seven hundred ninety-eight million, two hundred sixty-three thousand, six hundred eighty".