26671427840 has 288 divisors, whose sum is σ = 73536906240. Its totient is φ = 9201254400.

The previous prime is 26671427813. The next prime is 26671427873. The reversal of 26671427840 is 4872417662.

It is a super-2 number, since 2×26671427840² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12815600 + ... + 12817680.

It is an arithmetic number, because the mean of its divisors is an integer number (255336480).

Almost surely, 2^26671427840 is an apocalyptic number.

26671427840 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 26671427840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36768453120).

26671427840 is an abundant number, since it is smaller than the sum of its proper divisors (46865478400).

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

26671427840 is a wasteful number, since it uses less digits than its factorization.

26671427840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 47.

The spelling of 26671427840 in words is "twenty-six billion, six hundred seventy-one million, four hundred twenty-seven thousand, eight hundred forty".