32424540480 has 168 divisors, whose sum is σ = 113900297472. Its totient is φ = 8462539776.

The previous prime is 32424540479. The next prime is 32424540493. The reversal of 32424540480 is 8404542423.

32424540480 is a `hidden beast` number, since 3 + 2 + 4 + 245 + 404 + 8 + 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15589 + ... + 255131.

Almost surely, 2^32424540480 is an apocalyptic number.

32424540480 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 32424540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56950148736).

32424540480 is an abundant number, since it is smaller than the sum of its proper divisors (81475756992).

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

32424540480 is a wasteful number, since it uses less digits than its factorization.

32424540480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239613 (or 239600 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The spelling of 32424540480 in words is "thirty-two billion, four hundred twenty-four million, five hundred forty thousand, four hundred eighty".