6726252742272 has 2560 divisors, whose sum is σ = 26473886208000. Its totient is φ = 1685528248320.

The previous prime is 6726252742243. The next prime is 6726252742283. The reversal of 6726252742272 is 2722472526276.

6726252742272 is a `hidden beast` number, since 6 + 7 + 2 + 6 + 2 + 527 + 42 + 2 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 69342811728 + ... + 69342811824.

It is an arithmetic number, because the mean of its divisors is an integer number (10341361800).

Almost surely, 2^{6726252742272} is an apocalyptic number.

6726252742272 is a gapful number since it is divisible by the number (62) 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 6726252742272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13236943104000).

6726252742272 is an abundant number, since it is smaller than the sum of its proper divisors (19747633465728).

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

6726252742272 is a wasteful number, since it uses less digits than its factorization.

6726252742272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 194 counting only the distinct ones).

The product of its digits is 15805440, while the sum is 54.

The spelling of 6726252742272 in words is "six trillion, seven hundred twenty-six billion, two hundred fifty-two million, seven hundred forty-two thousand, two hundred seventy-two".