1365671664 has 360 divisors, whose sum is σ = 4815108480. Its totient is φ = 366996096.

The previous prime is 1365671647. The next prime is 1365671669. The reversal of 1365671664 is 4661765631.

1365671664 is a `hidden beast` number, since 13 + 6 + 567 + 16 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1365671669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9824907 + ... + 9825045.

Almost surely, 2^1365671664 is an apocalyptic number.

1365671664 is a gapful number since it is divisible by the number (14) 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 1365671664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407554240).

1365671664 is an abundant number, since it is smaller than the sum of its proper divisors (3449436816).

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

1365671664 is a wasteful number, since it uses less digits than its factorization.

1365671664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 170 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 1365671664 is about 36954.9951156809. The cubic root of 1365671664 is about 1109.4696663079.

The spelling of 1365671664 in words is "one billion, three hundred sixty-five million, six hundred seventy-one thousand, six hundred sixty-four".