32426584960 has 768 divisors, whose sum is σ = 105891079680. Its totient is φ = 9367142400.

The previous prime is 32426584843. The next prime is 32426585003. The reversal of 32426584960 is 6948562423.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 483978847 + ... + 483978913.

It is an arithmetic number, because the mean of its divisors is an integer number (137879010).

Almost surely, 2^32426584960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32426584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52945539840).

32426584960 is an abundant number, since it is smaller than the sum of its proper divisors (73464494720).

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

32426584960 is a wasteful number, since it uses less digits than its factorization.

32426584960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 49.

The spelling of 32426584960 in words is "thirty-two billion, four hundred twenty-six million, five hundred eighty-four thousand, nine hundred sixty".