1329552640 has 72 divisors (see below), whose sum is σ = 3429713448. Its totient is φ = 490905600.

The previous prime is 1329552617. The next prime is 1329552641. The reversal of 1329552640 is 462559231.

It can be written as a sum of positive squares in 4 ways, for example, as 2262016 + 1327290624 = 1504^2 + 36432^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1329552640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1329552641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23311 + ... + 56590.

It is an arithmetic number, because the mean of its divisors is an integer number (47634909).

Almost surely, 2^1329552640 is an apocalyptic number.

1329552640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1329552640 is an abundant number, since it is smaller than the sum of its proper divisors (2100160808).

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

1329552640 is an equidigital number, since it uses as much as digits as its factorization.

1329552640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79935 (or 79921 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The square root of 1329552640 is about 36463.0311411435. The cubic root of 1329552640 is about 1099.6011336231.

The spelling of 1329552640 in words is "one billion, three hundred twenty-nine million, five hundred fifty-two thousand, six hundred forty".