1364476636656 has 1120 divisors, whose sum is σ = 5214837657600. Its totient is φ = 336191938560.

The previous prime is 1364476636631. The next prime is 1364476636723. The reversal of 1364476636656 is 6566366744631.

1364476636656 is a `hidden beast` number, since 13 + 64 + 476 + 6 + 36 + 65 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1364476636593 and 1364476636602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 817540590 + ... + 817542258.

Almost surely, 2^{1364476636656} is an apocalyptic number.

1364476636656 is a gapful number since it is divisible by the number (16) 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 1364476636656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2607418828800).

1364476636656 is an abundant number, since it is smaller than the sum of its proper divisors (3850361020944).

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

1364476636656 is a wasteful number, since it uses less digits than its factorization.

1364476636656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769 (or 1748 counting only the distinct ones).

The product of its digits is 235146240, while the sum is 63.

The spelling of 1364476636656 in words is "one trillion, three hundred sixty-four billion, four hundred seventy-six million, six hundred thirty-six thousand, six hundred fifty-six".