6164217593856 has 504 divisors, whose sum is σ = 21133386501240. Its totient is φ = 1761205026816.

The previous prime is 6164217593819. The next prime is 6164217593867. The reversal of 6164217593856 is 6583957124616.

It is a happy number.

6164217593856 is a `hidden beast` number, since 6 + 1 + 6 + 421 + 75 + 93 + 8 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

Its product of digits (65318400) is a multiple of the sum of its prime divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 6164217593793 and 6164217593802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 880602513405 + ... + 880602513411.

Almost surely, 2^{6164217593856} 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 6164217593856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10566693250620).

6164217593856 is an abundant number, since it is smaller than the sum of its proper divisors (14969168907384).

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

6164217593856 is an frugal number, since it uses more digits than its factorization.

6164217593856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 12 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

6164217593856 divided by its sum of digits (63) gives a cube (97844723712 = 4608³).

The spelling of 6164217593856 in words is "six trillion, one hundred sixty-four billion, two hundred seventeen million, five hundred ninety-three thousand, eight hundred fifty-six".