26774979416640 has 5376 divisors, whose sum is σ = 128833663795200. Its totient is φ = 5249718190080.

The previous prime is 26774979416629. The next prime is 26774979416651. The reversal of 26774979416640 is 4661497947762.

26774979416640 is a `hidden beast` number, since 2 + 6 + 7 + 7 + 497 + 94 + 1 + 6 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (26774979416629) and next prime (26774979416651).

It is a super-2 number, since 2×26774979416640² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 505188290854 + ... + 505188290906.

It is an arithmetic number, because the mean of its divisors is an integer number (23964595200).

Almost surely, 2^{26774979416640} is an apocalyptic number.

26774979416640 is a gapful number since it is divisible by the number (20) 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 26774979416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64416831897600).

26774979416640 is an abundant number, since it is smaller than the sum of its proper divisors (102058684378560).

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

26774979416640 is a wasteful number, since it uses less digits than its factorization.

26774979416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 768144384, while the sum is 72.

The spelling of 26774979416640 in words is "twenty-six trillion, seven hundred seventy-four billion, nine hundred seventy-nine million, four hundred sixteen thousand, six hundred forty".