273224427696 has 640 divisors, whose sum is σ = 906730536960. Its totient is φ = 78019200000.

The previous prime is 273224427691. The next prime is 273224427701. The reversal of 273224427696 is 696724422372.

273224427696 is a `hidden beast` number, since 2 + 7 + 322 + 44 + 276 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (273224427691) and next prime (273224427701).

It is a super-3 number, since 3×273224427696³ (a number of 35 digits) contains 333 as substring.

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 (273224427691) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1579331866 + ... + 1579332038.

It is an arithmetic number, because the mean of its divisors is an integer number (1416766464).

Almost surely, 2^273224427696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 273224427696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453365268480).

273224427696 is an abundant number, since it is smaller than the sum of its proper divisors (633506109264).

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

273224427696 is a wasteful number, since it uses less digits than its factorization.

273224427696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 442 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 54.

The spelling of 273224427696 in words is "two hundred seventy-three billion, two hundred twenty-four million, four hundred twenty-seven thousand, six hundred ninety-six".