26947745440 has 192 divisors, whose sum is σ = 80033764608. Its totient is φ = 8398832640.

The previous prime is 26947745437. The next prime is 26947745453. The reversal of 26947745440 is 4454774962.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1481682 + ... + 1499758.

It is an arithmetic number, because the mean of its divisors is an integer number (416842524).

Almost surely, 2^26947745440 is an apocalyptic number.

26947745440 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 26947745440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40016882304).

26947745440 is an abundant number, since it is smaller than the sum of its proper divisors (53086019168).

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

26947745440 is a wasteful number, since it uses less digits than its factorization.

26947745440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18132 (or 18102 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 52.

The spelling of 26947745440 in words is "twenty-six billion, nine hundred forty-seven million, seven hundred forty-five thousand, four hundred forty".