6411633500160 has 1344 divisors, whose sum is σ = 26969070735360. Its totient is φ = 1377286225920.

The previous prime is 6411633500149. The next prime is 6411633500201. The reversal of 6411633500160 is 610053361146.

6411633500160 is a `hidden beast` number, since 6 + 4 + 1 + 1 + 633 + 5 + 0 + 0 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×6411633500160² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3501710445 + ... + 3501712275.

Almost surely, 2^{6411633500160} is an apocalyptic number.

6411633500160 is a gapful number since it is divisible by the number (60) 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 6411633500160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13484535367680).

6411633500160 is an abundant number, since it is smaller than the sum of its proper divisors (20557437235200).

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

6411633500160 is a wasteful number, since it uses less digits than its factorization.

6411633500160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 6411633500160 in words is "six trillion, four hundred eleven billion, six hundred thirty-three million, five hundred thousand, one hundred sixty".