26340447672 has 384 divisors, whose sum is σ = 92933568000. Its totient is φ = 6790003200.

The previous prime is 26340447641. The next prime is 26340447677. The reversal of 26340447672 is 27674404362.

26340447672 is a `hidden beast` number, since 2 + 634 + 0 + 4 + 4 + 7 + 6 + 7 + 2 = 666.

It is a super-2 number, since 2×26340447672² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26340447677) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22302922 + ... + 22304102.

It is an arithmetic number, because the mean of its divisors is an integer number (242014500).

Almost surely, 2^26340447672 is an apocalyptic number.

26340447672 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 26340447672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46466784000).

26340447672 is an abundant number, since it is smaller than the sum of its proper divisors (66593120328).

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

26340447672 is a wasteful number, since it uses less digits than its factorization.

26340447672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 26340447672 in words is "twenty-six billion, three hundred forty million, four hundred forty-seven thousand, six hundred seventy-two".