26972646624 has 576 divisors, whose sum is σ = 105737425920. Its totient is φ = 6591836160.

The previous prime is 26972646619. The next prime is 26972646647. The reversal of 26972646624 is 42664627962.

26972646624 is a `hidden beast` number, since 2 + 6 + 9 + 7 + 2 + 6 + 4 + 6 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7915129 + ... + 7918535.

It is an arithmetic number, because the mean of its divisors is an integer number (183571920).

Almost surely, 2^26972646624 is an apocalyptic number.

26972646624 is a gapful number since it is divisible by the number (24) 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 26972646624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52868712960).

26972646624 is an abundant number, since it is smaller than the sum of its proper divisors (78764779296).

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

26972646624 is a wasteful number, since it uses less digits than its factorization.

26972646624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3468 (or 3447 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The spelling of 26972646624 in words is "twenty-six billion, nine hundred seventy-two million, six hundred forty-six thousand, six hundred twenty-four".