26770767408 has 480 divisors, whose sum is σ = 103265176320. Its totient is φ = 6543452160.

The previous prime is 26770767377. The next prime is 26770767437. The reversal of 26770767408 is 80476707762.

It is a super-2 number, since 2×26770767408² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3955035 + ... + 3961797.

It is an arithmetic number, because the mean of its divisors is an integer number (215135784).

Almost surely, 2^26770767408 is an apocalyptic number.

26770767408 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 26770767408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51632588160).

26770767408 is an abundant number, since it is smaller than the sum of its proper divisors (76494408912).

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

26770767408 is a wasteful number, since it uses less digits than its factorization.

26770767408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6822 (or 6803 counting only the distinct ones).

The product of its (nonzero) digits is 5531904, while the sum is 54.

The spelling of 26770767408 in words is "twenty-six billion, seven hundred seventy million, seven hundred sixty-seven thousand, four hundred eight".