32182442640 has 320 divisors, whose sum is σ = 113154900480. Its totient is φ = 8405268480.

The previous prime is 32182442599. The next prime is 32182442683. The reversal of 32182442640 is 4624428123.

32182442640 is a `hidden beast` number, since 3 + 2 + 1 + 8 + 2 + 4 + 4 + 2 + 640 = 666.

It is a super-2 number, since 2×32182442640² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 32182442595 and 32182442604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26530674 + ... + 26531886.

It is an arithmetic number, because the mean of its divisors is an integer number (353609064).

Almost surely, 2^32182442640 is an apocalyptic number.

32182442640 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 32182442640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56577450240).

32182442640 is an abundant number, since it is smaller than the sum of its proper divisors (80972457840).

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

32182442640 is a wasteful number, since it uses less digits than its factorization.

32182442640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 32182442640 in words is "thirty-two billion, one hundred eighty-two million, four hundred forty-two thousand, six hundred forty".