32045012640 has 288 divisors, whose sum is σ = 115550862336. Its totient is φ = 8383564800.

The previous prime is 32045012639. The next prime is 32045012719. The reversal of 32045012640 is 4621054023.

32045012640 is a `hidden beast` number, since 3 + 2 + 0 + 4 + 5 + 0 + 12 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2052865 + ... + 2068415.

It is an arithmetic number, because the mean of its divisors is an integer number (401218272).

Almost surely, 2^32045012640 is an apocalyptic number.

32045012640 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 32045012640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57775431168).

32045012640 is an abundant number, since it is smaller than the sum of its proper divisors (83505849696).

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

32045012640 is a wasteful number, since it uses less digits than its factorization.

32045012640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15634 (or 15614 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 32045012640 its reverse (4621054023), we get a palindrome (36666066663).

The spelling of 32045012640 in words is "thirty-two billion, forty-five million, twelve thousand, six hundred forty".