26471587968 has 640 divisors, whose sum is σ = 96366336000. Its totient is φ = 7074542592.

The previous prime is 26471587943. The next prime is 26471587969. The reversal of 26471587968 is 86978517462.

26471587968 is a `hidden beast` number, since 2 + 6 + 47 + 1 + 587 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26471587969) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 335083353 + ... + 335083431.

It is an arithmetic number, because the mean of its divisors is an integer number (150572400).

Almost surely, 2^26471587968 is an apocalyptic number.

26471587968 is a gapful number since it is divisible by the number (28) 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 26471587968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48183168000).

26471587968 is an abundant number, since it is smaller than the sum of its proper divisors (69894748032).

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

26471587968 is an frugal number, since it uses more digits than its factorization.

26471587968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 110 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The spelling of 26471587968 in words is "twenty-six billion, four hundred seventy-one million, five hundred eighty-seven thousand, nine hundred sixty-eight".