1329453864 has 128 divisors (see below), whose sum is σ = 3982608000. Its totient is φ = 409536000.

The previous prime is 1329453859. The next prime is 1329453901. The reversal of 1329453864 is 4683549231.

1329453864 is a `hidden beast` number, since 132 + 9 + 453 + 8 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164314 + ... + 172214.

It is an arithmetic number, because the mean of its divisors is an integer number (31114125).

Almost surely, 2^1329453864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1329453864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991304000).

1329453864 is an abundant number, since it is smaller than the sum of its proper divisors (2653154136).

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

1329453864 is a wasteful number, since it uses less digits than its factorization.

1329453864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7976 (or 7966 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 1329453864 is about 36461.6766482289. The cubic root of 1329453864 is about 1099.5739021850.

The spelling of 1329453864 in words is "one billion, three hundred twenty-nine million, four hundred fifty-three thousand, eight hundred sixty-four".