26769471418368 has 832 divisors, whose sum is σ = 93170331520000. Its totient is φ = 7591900151808.

The previous prime is 26769471418307. The next prime is 26769471418421. The reversal of 26769471418368 is 86381417496762.

26769471418368 is a `hidden beast` number, since 2 + 6 + 76 + 9 + 471 + 4 + 1 + 83 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 26769471418296 and 26769471418305.

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, 5272692246 + ... + 5272697322.

Almost surely, 2^{26769471418368} is an apocalyptic number.

26769471418368 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 26769471418368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46585165760000).

26769471418368 is an abundant number, since it is smaller than the sum of its proper divisors (66400860101632).

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

26769471418368 is an equidigital number, since it uses as much as digits as its factorization.

26769471418368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5270 (or 5228 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 72.

The spelling of 26769471418368 in words is "twenty-six trillion, seven hundred sixty-nine billion, four hundred seventy-one million, four hundred eighteen thousand, three hundred sixty-eight".