32256642000 has 640 divisors, whose sum is σ = 123677798400. Its totient is φ = 7144704000.

The previous prime is 32256641999. The next prime is 32256642013. The reversal of 32256642000 is 24665223.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36365557 + ... + 36366443.

It is an arithmetic number, because the mean of its divisors is an integer number (193246560).

Almost surely, 2^32256642000 is an apocalyptic number.

32256642000 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 32256642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61838899200).

32256642000 is an abundant number, since it is smaller than the sum of its proper divisors (91421156400).

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

32256642000 is a wasteful number, since it uses less digits than its factorization.

32256642000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 32256642000 in words is "thirty-two billion, two hundred fifty-six million, six hundred forty-two thousand".