6642011376 has 720 divisors, whose sum is σ = 25933340160. Its totient is φ = 1543449600.

The previous prime is 6642011371. The next prime is 6642011381. The reversal of 6642011376 is 6731102466.

It is a happy number.

6642011376 is a `hidden beast` number, since 6 + 642 + 0 + 1 + 1 + 3 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (6642011371) and next prime (6642011381).

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

It is a self number, because there is not a number n which added to its sum of digits gives 6642011376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6642011371) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 93549421 + ... + 93549491.

It is an arithmetic number, because the mean of its divisors is an integer number (36018528).

Almost surely, 2^6642011376 is an apocalyptic number.

6642011376 is a gapful number since it is divisible by the number (66) 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 6642011376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12966670080).

6642011376 is an abundant number, since it is smaller than the sum of its proper divisors (19291328784).

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

6642011376 is a wasteful number, since it uses less digits than its factorization.

6642011376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 6642011376 is about 81498.5360359313. The cubic root of 6642011376 is about 1879.7490399882.

The spelling of 6642011376 in words is "six billion, six hundred forty-two million, eleven thousand, three hundred seventy-six".