32468874000 has 320 divisors, whose sum is σ = 106783522560. Its totient is φ = 8486400000.

The previous prime is 32468873981. The next prime is 32468874013. The reversal of 32468874000 is 47886423.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79385796 + ... + 79386204.

It is an arithmetic number, because the mean of its divisors is an integer number (333698508).

Almost surely, 2^32468874000 is an apocalyptic number.

32468874000 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 32468874000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53391761280).

32468874000 is an abundant number, since it is smaller than the sum of its proper divisors (74314648560).

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

32468874000 is a wasteful number, since it uses less digits than its factorization.

32468874000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 32468874000 in words is "thirty-two billion, four hundred sixty-eight million, eight hundred seventy-four thousand".