32485420800 has 1296 divisors, whose sum is σ = 144238768128. Its totient is φ = 6812467200.

The previous prime is 32485420789. The next prime is 32485420801. The reversal of 32485420800 is 802458423.

32485420800 is a `hidden beast` number, since 32 + 4 + 8 + 542 + 0 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32485420801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 287481544 + ... + 287481656.

Almost surely, 2^32485420800 is an apocalyptic number.

32485420800 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 32485420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72119384064).

32485420800 is an abundant number, since it is smaller than the sum of its proper divisors (111753347328).

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

32485420800 is a wasteful number, since it uses less digits than its factorization.

32485420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 32485420800 in words is "thirty-two billion, four hundred eighty-five million, four hundred twenty thousand, eight hundred".