6641629188480 has 1536 divisors, whose sum is σ = 28331491668480. Its totient is φ = 1465520947200.

The previous prime is 6641629188473. The next prime is 6641629188533. The reversal of 6641629188480 is 848819261466.

6641629188480 is a `hidden beast` number, since 6 + 6 + 4 + 1 + 62 + 91 + 8 + 8 + 480 = 666.

It is a super-2 number, since 2×6641629188480² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1623471235 + ... + 1623475325.

It is an arithmetic number, because the mean of its divisors is an integer number (18444981555).

Almost surely, 2^{6641629188480} is an apocalyptic number.

6641629188480 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 6641629188480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14165745834240).

6641629188480 is an abundant number, since it is smaller than the sum of its proper divisors (21689862480000).

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

6641629188480 is a wasteful number, since it uses less digits than its factorization.

6641629188480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4222 (or 4198 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 6641629188480 in words is "six trillion, six hundred forty-one billion, six hundred twenty-nine million, one hundred eighty-eight thousand, four hundred eighty".