1364705664 has 384 divisors, whose sum is σ = 4541896800. Its totient is φ = 361267200.

The previous prime is 1364705599. The next prime is 1364705689. The reversal of 1364705664 is 4665074631.

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 (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22372194 + ... + 22372254.

Almost surely, 2^1364705664 is an apocalyptic number.

1364705664 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 1364705664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2270948400).

1364705664 is an abundant number, since it is smaller than the sum of its proper divisors (3177191136).

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

1364705664 is a wasteful number, since it uses less digits than its factorization.

1364705664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 1364705664 is about 36941.9228519578. The cubic root of 1364705664 is about 1109.2080122751.

The spelling of 1364705664 in words is "one billion, three hundred sixty-four million, seven hundred five thousand, six hundred sixty-four".