32725952640 has 512 divisors, whose sum is σ = 122791680000. Its totient is φ = 8214441984.

The previous prime is 32725952599. The next prime is 32725952641. The reversal of 32725952640 is 4625952723.

32725952640 is a `hidden beast` number, since 3 + 2 + 72 + 59 + 526 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (32725952641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86347971 + ... + 86348349.

It is an arithmetic number, because the mean of its divisors is an integer number (239827500).

Almost surely, 2^32725952640 is an apocalyptic number.

32725952640 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 32725952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61395840000).

32725952640 is an abundant number, since it is smaller than the sum of its proper divisors (90065727360).

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

32725952640 is a wasteful number, since it uses less digits than its factorization.

32725952640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 32725952640 in words is "thirty-two billion, seven hundred twenty-five million, nine hundred fifty-two thousand, six hundred forty".