32825970908640 has 768 divisors, whose sum is σ = 141625868912640. Its totient is φ = 6915061186560.

The previous prime is 32825970908623. The next prime is 32825970908699. The reversal of 32825970908640 is 4680907952823.

32825970908640 is a `hidden beast` number, since 32 + 8 + 2 + 597 + 0 + 9 + 0 + 8 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 251924787 + ... + 252055053.

It is an arithmetic number, because the mean of its divisors is an integer number (184408683480).

Almost surely, 2^{32825970908640} is an apocalyptic number.

32825970908640 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 32825970908640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70812934456320).

32825970908640 is an abundant number, since it is smaller than the sum of its proper divisors (108799898004000).

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

32825970908640 is a wasteful number, since it uses less digits than its factorization.

32825970908640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130952 (or 130938 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 32825970908640 in words is "thirty-two trillion, eight hundred twenty-five billion, nine hundred seventy million, nine hundred eight thousand, six hundred forty".