1365496704 has 384 divisors, whose sum is σ = 4802878080. Its totient is φ = 380712960.

The previous prime is 1365496681. The next prime is 1365496721. The reversal of 1365496704 is 4076945631.

1365496704 is a `hidden beast` number, since 1 + 36 + 549 + 6 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×1365496704³ (a number of 28 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1365496704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4447719 + ... + 4448025.

It is an arithmetic number, because the mean of its divisors is an integer number (12507495).

Almost surely, 2^1365496704 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 1365496704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2401439040).

1365496704 is an abundant number, since it is smaller than the sum of its proper divisors (3437381376).

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

1365496704 is a wasteful number, since it uses less digits than its factorization.

1365496704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 336 counting only the distinct ones).

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

The square root of 1365496704 is about 36952.6278361905. The cubic root of 1365496704 is about 1109.4222852016.

The spelling of 1365496704 in words is "one billion, three hundred sixty-five million, four hundred ninety-six thousand, seven hundred four".