32998318080 has 672 divisors, whose sum is σ = 131244344064. Its totient is φ = 6931611648.

The previous prime is 32998318049. The next prime is 32998318127. The reversal of 32998318080 is 8081389923.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×32998318080² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145366927 + ... + 145367153.

Almost surely, 2^32998318080 is an apocalyptic number.

32998318080 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 32998318080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65622172032).

32998318080 is an abundant number, since it is smaller than the sum of its proper divisors (98246025984).

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

32998318080 is a wasteful number, since it uses less digits than its factorization.

32998318080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The spelling of 32998318080 in words is "thirty-two billion, nine hundred ninety-eight million, three hundred eighteen thousand, eighty".