1364649984 has 384 divisors, whose sum is σ = 4481568000. Its totient is φ = 408748032.

The previous prime is 1364649983. The next prime is 1364650003. The reversal of 1364649984 is 4899464631.

It is a happy number.

1364649984 is a `hidden beast` number, since 1 + 36 + 46 + 499 + 84 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1364649984.

It is not an unprimeable number, because it can be changed into a prime (1364649983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36882414 + ... + 36882450.

It is an arithmetic number, because the mean of its divisors is an integer number (11670750).

Almost surely, 2^1364649984 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 1364649984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240784000).

1364649984 is an abundant number, since it is smaller than the sum of its proper divisors (3116918016).

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

1364649984 is a wasteful number, since it uses less digits than its factorization.

1364649984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 94 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 1364649984 is about 36941.1692289240. The cubic root of 1364649984 is about 1109.1929268385.

The spelling of 1364649984 in words is "one billion, three hundred sixty-four million, six hundred forty-nine thousand, nine hundred eighty-four".