1379664000 has 768 divisors, whose sum is σ = 5907807360. Its totient is φ = 304128000.

The previous prime is 1379663983. The next prime is 1379664001. The reversal of 1379664000 is 4669731.

1379664000 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 6 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1379664001) 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, 20591967 + ... + 20592033.

Almost surely, 2^1379664000 is an apocalyptic number.

1379664000 is a gapful number since it is divisible by the number (10) 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 1379664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2953903680).

1379664000 is an abundant number, since it is smaller than the sum of its proper divisors (4528143360).

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

1379664000 is a wasteful number, since it uses less digits than its factorization.

1379664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1379664000 is about 37143.8285587256. The cubic root of 1379664000 is about 1113.2459164594.

The spelling of 1379664000 in words is "one billion, three hundred seventy-nine million, six hundred sixty-four thousand".