26672308035984 has 320 divisors, whose sum is σ = 82666284019200. Its totient is φ = 8185217660928.

The previous prime is 26672308035941. The next prime is 26672308036021. The reversal of 26672308035984 is 48953080327662.

It is a happy number.

26672308035984 is a `hidden beast` number, since 2 + 6 + 6 + 7 + 2 + 30 + 8 + 0 + 3 + 598 + 4 = 666.

It is a super-2 number, since 2×26672308035984² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8579061822 + ... + 8579064930.

It is an arithmetic number, because the mean of its divisors is an integer number (258332137560).

Almost surely, 2^{26672308035984} is an apocalyptic number.

26672308035984 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 26672308035984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41333142009600).

26672308035984 is an abundant number, since it is smaller than the sum of its proper divisors (55993975983216).

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

26672308035984 is a wasteful number, since it uses less digits than its factorization.

26672308035984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6679 (or 6667 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 26672308035984 in words is "twenty-six trillion, six hundred seventy-two billion, three hundred eight million, thirty-five thousand, nine hundred eighty-four".