26759479680 has 512 divisors, whose sum is σ = 101840716800. Its totient is φ = 6616350720.

The previous prime is 26759479661. The next prime is 26759479687. The reversal of 26759479680 is 8697495762.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26759479687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20856319 + ... + 20857601.

It is an arithmetic number, because the mean of its divisors is an integer number (198907650).

Almost surely, 2^26759479680 is an apocalyptic number.

26759479680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

26759479680 is the 81792-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26759479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50920358400).

26759479680 is an abundant number, since it is smaller than the sum of its proper divisors (75081237120).

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

26759479680 is a wasteful number, since it uses less digits than its factorization.

26759479680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 26759479680 in words is "twenty-six billion, seven hundred fifty-nine million, four hundred seventy-nine thousand, six hundred eighty".