6726635051136 has 3072 divisors, whose sum is σ = 27344193945600. Its totient is φ = 1418939596800.

The previous prime is 6726635051119. The next prime is 6726635051219. The reversal of 6726635051136 is 6311505366276.

It is a super-2 number, since 2×6726635051136² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 92145685596 + ... + 92145685668.

It is an arithmetic number, because the mean of its divisors is an integer number (8901104800).

Almost surely, 2^{6726635051136} is an apocalyptic number.

6726635051136 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 6726635051136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13672096972800).

6726635051136 is an abundant number, since it is smaller than the sum of its proper divisors (20617558894464).

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

6726635051136 is a wasteful number, since it uses less digits than its factorization.

6726635051136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 51.

The spelling of 6726635051136 in words is "six trillion, seven hundred twenty-six billion, six hundred thirty-five million, fifty-one thousand, one hundred thirty-six".