26978056704 has 240 divisors, whose sum is σ = 82840534920. Its totient is φ = 8422686720.

The previous prime is 26978056673. The next prime is 26978056709. The reversal of 26978056704 is 40765087962.

26978056704 is a `hidden beast` number, since 2 + 6 + 9 + 78 + 0 + 567 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23372294400 + 3605762304 = 152880^2 + 60048^2 .

It is not an unprimeable number, because it can be changed into a prime (26978056709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18878262 + ... + 18879690.

Almost surely, 2^26978056704 is an apocalyptic number.

26978056704 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 26978056704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41420267460).

26978056704 is an abundant number, since it is smaller than the sum of its proper divisors (55862478216).

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

26978056704 is a wasteful number, since it uses less digits than its factorization.

26978056704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 26978056704 in words is "twenty-six billion, nine hundred seventy-eight million, fifty-six thousand, seven hundred four".