1329578016 has 96 divisors (see below), whose sum is σ = 3814953408. Its totient is φ = 402969600.

The previous prime is 1329578009. The next prime is 1329578057. The reversal of 1329578016 is 6108759231.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75666 + ... + 91566.

It is an arithmetic number, because the mean of its divisors is an integer number (39739098).

Almost surely, 2^1329578016 is an apocalyptic number.

1329578016 is a gapful number since it is divisible by the number (16) 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 1329578016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1907476704).

1329578016 is an abundant number, since it is smaller than the sum of its proper divisors (2485375392).

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

1329578016 is a wasteful number, since it uses less digits than its factorization.

1329578016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15994 (or 15986 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 1329578016 is about 36463.3791083602. The cubic root of 1329578016 is about 1099.6081292847.

The spelling of 1329578016 in words is "one billion, three hundred twenty-nine million, five hundred seventy-eight thousand, sixteen".