26847149472 has 288 divisors, whose sum is σ = 90189904896. Its totient is φ = 7468185600.

The previous prime is 26847149467. The next prime is 26847149477. The reversal of 26847149472 is 27494174862.

26847149472 is a `hidden beast` number, since 2 + 6 + 84 + 7 + 1 + 494 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (26847149467) and next prime (26847149477).

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (26847149477) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7864438 + ... + 7867850.

It is an arithmetic number, because the mean of its divisors is an integer number (313159392).

Almost surely, 2^26847149472 is an apocalyptic number.

26847149472 is a gapful number since it is divisible by the number (22) 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 26847149472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45094952448).

26847149472 is an abundant number, since it is smaller than the sum of its proper divisors (63342755424).

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

26847149472 is a wasteful number, since it uses less digits than its factorization.

26847149472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3644 (or 3633 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 26847149472 in words is "twenty-six billion, eight hundred forty-seven million, one hundred forty-nine thousand, four hundred seventy-two".