270828633600 has 1440 divisors, whose sum is σ = 1180606489920. Its totient is φ = 57967902720.

The previous prime is 270828633583. The next prime is 270828633619. The reversal of 270828633600 is 6336828072.

270828633600 is a `hidden beast` number, since 2 + 7 + 0 + 8 + 2 + 8 + 6 + 33 + 600 = 666.

270828633600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 865267044 + ... + 865267356.

It is an arithmetic number, because the mean of its divisors is an integer number (819865618).

Almost surely, 2^270828633600 is an apocalyptic number.

270828633600 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 270828633600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590303244960).

270828633600 is an abundant number, since it is smaller than the sum of its proper divisors (909777856320).

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

270828633600 is a wasteful number, since it uses less digits than its factorization.

270828633600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 270828633600 in words is "two hundred seventy billion, eight hundred twenty-eight million, six hundred thirty-three thousand, six hundred".