6163867643472 has 1920 divisors, whose sum is σ = 24259567288320. Its totient is φ = 1412425728000.

The previous prime is 6163867643371. The next prime is 6163867643473. The reversal of 6163867643472 is 2743467683616.

6163867643472 is a `hidden beast` number, since 6 + 1 + 63 + 8 + 6 + 76 + 434 + 72 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6163867643473) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 34435014679 + ... + 34435014857.

It is an arithmetic number, because the mean of its divisors is an integer number (12635191296).

Almost surely, 2^{6163867643472} is an apocalyptic number.

6163867643472 is a gapful number since it is divisible by the number (62) 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 6163867643472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12129783644160).

6163867643472 is an abundant number, since it is smaller than the sum of its proper divisors (18095699644848).

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

6163867643472 is a wasteful number, since it uses less digits than its factorization.

6163867643472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 404 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 63.

The spelling of 6163867643472 in words is "six trillion, one hundred sixty-three billion, eight hundred sixty-seven million, six hundred forty-three thousand, four hundred seventy-two".