270749029874400 has 1728 divisors, whose sum is σ = 1245983999420160. Its totient is φ = 56107808870400.

The previous prime is 270749029874329. The next prime is 270749029874417. The reversal of 270749029874400 is 4478920947072.

270749029874400 is a `hidden beast` number, since 2 + 7 + 0 + 7 + 4 + 90 + 29 + 87 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4342584027 + ... + 4342646373.

It is an arithmetic number, because the mean of its divisors is an integer number (721055555220).

Almost surely, 2^{270749029874400} is an apocalyptic number.

270749029874400 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 270749029874400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622991999710080).

270749029874400 is an abundant number, since it is smaller than the sum of its proper divisors (975234969545760).

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

270749029874400 is a wasteful number, since it uses less digits than its factorization.

270749029874400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62774 (or 62748 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 270749029874400 in words is "two hundred seventy trillion, seven hundred forty-nine billion, twenty-nine million, eight hundred seventy-four thousand, four hundred".