6611372421120 has 624 divisors, whose sum is σ = 23493455032320. Its totient is φ = 1719144677376.

The previous prime is 6611372421097. The next prime is 6611372421149. The reversal of 6611372421120 is 211242731166.

6611372421120 is a `hidden beast` number, since 6 + 611 + 3 + 7 + 2 + 4 + 2 + 11 + 20 = 666.

It is a super-2 number, since 2×6611372421120² (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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1381107367 + ... + 1381112153.

It is an arithmetic number, because the mean of its divisors is an integer number (37649767680).

Almost surely, 2^{6611372421120} is an apocalyptic number.

6611372421120 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 6611372421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11746727516160).

6611372421120 is an abundant number, since it is smaller than the sum of its proper divisors (16882082611200).

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

6611372421120 is a wasteful number, since it uses less digits than its factorization.

6611372421120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5008 (or 4983 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 6611372421120 in words is "six trillion, six hundred eleven billion, three hundred seventy-two million, four hundred twenty-one thousand, one hundred twenty".