272130680640 has 1344 divisors, whose sum is σ = 1130145730560. Its totient is φ = 54948741120.

The previous prime is 272130680611. The next prime is 272130680669. The reversal of 272130680640 is 46086031272.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (272130680611) and next prime (272130680669).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 2077333375 + ... + 2077333505.

It is an arithmetic number, because the mean of its divisors is an integer number (840882240).

Almost surely, 2^272130680640 is an apocalyptic number.

272130680640 is a gapful number since it is divisible by the number (20) 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 272130680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565072865280).

272130680640 is an abundant number, since it is smaller than the sum of its proper divisors (858015049920).

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

272130680640 is a wasteful number, since it uses less digits than its factorization.

272130680640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 272130680640 in words is "two hundred seventy-two billion, one hundred thirty million, six hundred eighty thousand, six hundred forty".