272329424640 has 2592 divisors, whose sum is σ = 1305346311360. Its totient is φ = 51725205504.

The previous prime is 272329424621. The next prime is 272329424663. The reversal of 272329424640 is 46424923272.

It is a happy number.

272329424640 is a `hidden beast` number, since 2 + 72 + 32 + 94 + 2 + 464 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4615752931 + ... + 4615752989.

It is an arithmetic number, because the mean of its divisors is an integer number (503605830).

Almost surely, 2^272329424640 is an apocalyptic number.

272329424640 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 272329424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652673155680).

272329424640 is an abundant number, since it is smaller than the sum of its proper divisors (1033016886720).

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

272329424640 is a wasteful number, since it uses less digits than its factorization.

272329424640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 272329424640 in words is "two hundred seventy-two billion, three hundred twenty-nine million, four hundred twenty-four thousand, six hundred forty".