275452464672 has 480 divisors, whose sum is σ = 1025116646400. Its totient is φ = 70474821120.

The previous prime is 275452464671. The next prime is 275452464713. The reversal of 275452464672 is 276464254572.

It is a happy number.

275452464672 is a `hidden beast` number, since 2 + 7 + 5 + 4 + 524 + 6 + 46 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (275452464671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13361829 + ... + 13382427.

It is an arithmetic number, because the mean of its divisors is an integer number (2135659680).

Almost surely, 2^275452464672 is an apocalyptic number.

275452464672 is a gapful number since it is divisible by the number (22) 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 275452464672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512558323200).

275452464672 is an abundant number, since it is smaller than the sum of its proper divisors (749664181728).

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

275452464672 is a wasteful number, since it uses less digits than its factorization.

275452464672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20706 (or 20689 counting only the distinct ones).

The product of its digits is 22579200, while the sum is 54.

The spelling of 275452464672 in words is "two hundred seventy-five billion, four hundred fifty-two million, four hundred sixty-four thousand, six hundred seventy-two".