1319393664 has 192 divisors, whose sum is σ = 4139710800. Its totient is φ = 413614080.

The previous prime is 1319393633. The next prime is 1319393671. The reversal of 1319393664 is 4663939131.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 998124 + ... + 999444.

Almost surely, 2^1319393664 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 1319393664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2069855400).

1319393664 is an abundant number, since it is smaller than the sum of its proper divisors (2820317136).

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

1319393664 is a wasteful number, since it uses less digits than its factorization.

1319393664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1343 counting only the distinct ones).

The product of its digits is 314928, while the sum is 45.

The square root of 1319393664 is about 36323.4588661377. The cubic root of 1319393664 is about 1096.7933233653.

The spelling of 1319393664 in words is "one billion, three hundred nineteen million, three hundred ninety-three thousand, six hundred sixty-four".