6236541065664 has 1764 divisors, whose sum is σ = 24311938214736. Its totient is φ = 1553255129088.

The previous prime is 6236541065641. The next prime is 6236541065687. The reversal of 6236541065664 is 4665601456326.

6236541065664 is a `hidden beast` number, since 6 + 2 + 3 + 65 + 4 + 10 + 6 + 566 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (6236541065641) and next prime (6236541065687).

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

It is a self number, because there is not a number n which added to its sum of digits gives 6236541065664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 19925051172 + ... + 19925051484.

Almost surely, 2^{6236541065664} is an apocalyptic number.

6236541065664 is a gapful number since it is divisible by the number (64) 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 6236541065664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12155969107368).

6236541065664 is an abundant number, since it is smaller than the sum of its proper divisors (18075397149072).

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

6236541065664 is a wasteful number, since it uses less digits than its factorization.

6236541065664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 6236541065664 in words is "six trillion, two hundred thirty-six billion, five hundred forty-one million, sixty-five thousand, six hundred sixty-four".