272261369664 has 56 divisors (see below), whose sum is σ = 800398013120. Its totient is φ = 90753789312.

The previous prime is 272261369663. The next prime is 272261369741. The reversal of 272261369664 is 466963162272.

272261369664 is a `hidden beast` number, since 272 + 2 + 6 + 1 + 369 + 6 + 6 + 4 = 666.

It is a super-2 number, since 2×272261369664² (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 272261369664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272261369663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78777604 + ... + 78781059.

Almost surely, 2^272261369664 is an apocalyptic number.

272261369664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

272261369664 is an abundant number, since it is smaller than the sum of its proper divisors (528136643456).

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

272261369664 is a wasteful number, since it uses less digits than its factorization.

272261369664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157558684 (or 157558668 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The spelling of 272261369664 in words is "two hundred seventy-two billion, two hundred sixty-one million, three hundred sixty-nine thousand, six hundred sixty-four".