32948023680 has 1152 divisors, whose sum is σ = 143090569440. Its totient is φ = 6900940800.

The previous prime is 32948023673. The next prime is 32948023727. The reversal of 32948023680 is 8632084923.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 182033190 + ... + 182033370.

Almost surely, 2^32948023680 is an apocalyptic number.

32948023680 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 32948023680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71545284720).

32948023680 is an abundant number, since it is smaller than the sum of its proper divisors (110142545760).

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

32948023680 is a wasteful number, since it uses less digits than its factorization.

32948023680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 32948023680 in words is "thirty-two billion, nine hundred forty-eight million, twenty-three thousand, six hundred eighty".