270990891640 has 384 divisors, whose sum is σ = 759108672000. Its totient is φ = 86618391552.

The previous prime is 270990891607. The next prime is 270990891643. The reversal of 270990891640 is 46198099072.

270990891640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270990891643) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 369700714 + ... + 369701446.

It is an arithmetic number, because the mean of its divisors is an integer number (1976845500).

Almost surely, 2^270990891640 is an apocalyptic number.

270990891640 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 270990891640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379554336000).

270990891640 is an abundant number, since it is smaller than the sum of its proper divisors (488117780360).

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

270990891640 is a wasteful number, since it uses less digits than its factorization.

270990891640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 55.

The spelling of 270990891640 in words is "two hundred seventy billion, nine hundred ninety million, eight hundred ninety-one thousand, six hundred forty".