32420732544 has 128 divisors (see below), whose sum is σ = 96001012800. Its totient is φ = 10771356672.

The previous prime is 32420732483. The next prime is 32420732549. The reversal of 32420732544 is 44523702423.

32420732544 is a `hidden beast` number, since 3 + 2 + 42 + 0 + 73 + 2 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-4 number, since 4×32420732544⁴ (a number of 43 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3, 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 32420732499 and 32420732508.

It is not an unprimeable number, because it can be changed into a prime (32420732549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1045714 + ... + 1076270.

Almost surely, 2^32420732544 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 32420732544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48000506400).

32420732544 is an abundant number, since it is smaller than the sum of its proper divisors (63580280256).

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

32420732544 is a wasteful number, since it uses less digits than its factorization.

32420732544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30887 (or 30869 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 36.

The spelling of 32420732544 in words is "thirty-two billion, four hundred twenty million, seven hundred thirty-two thousand, five hundred forty-four".