32670927421440 has 1728 divisors, whose sum is σ = 137201938449408. Its totient is φ = 6485987819520.

The previous prime is 32670927421409. The next prime is 32670927421441. The reversal of 32670927421440 is 4412472907623.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32670927421441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38301204054 + ... + 38301204906.

It is an arithmetic number, because the mean of its divisors is an integer number (79399269936).

Almost surely, 2^{32670927421440} is an apocalyptic number.

32670927421440 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 32670927421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68600969224704).

32670927421440 is an abundant number, since it is smaller than the sum of its proper divisors (104531011027968).

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

32670927421440 is an equidigital number, since it uses as much as digits as its factorization.

32670927421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 51.

The spelling of 32670927421440 in words is "thirty-two trillion, six hundred seventy billion, nine hundred twenty-seven million, four hundred twenty-one thousand, four hundred forty".