32670673440 has 192 divisors, whose sum is σ = 109103936256. Its totient is φ = 8189345792.

The previous prime is 32670673433. The next prime is 32670673507. The reversal of 32670673440 is 4437607623.

It is a junction number, because it is equal to n+sod(n) for n = 32670673392 and 32670673401.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 8019244 + ... + 8023316.

It is an arithmetic number, because the mean of its divisors is an integer number (568249668).

Almost surely, 2^32670673440 is an apocalyptic number.

32670673440 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 32670673440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54551968128).

32670673440 is an abundant number, since it is smaller than the sum of its proper divisors (76433262816).

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

32670673440 is a wasteful number, since it uses less digits than its factorization.

32670673440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5091 (or 5083 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 42.

The spelling of 32670673440 in words is "thirty-two billion, six hundred seventy million, six hundred seventy-three thousand, four hundred forty".