26627879460 has 768 divisors, whose sum is σ = 102419251200. Its totient is φ = 5011808256.

The previous prime is 26627879459. The next prime is 26627879461. The reversal of 26627879460 is 6497872662.

It is an interprime number because it is at equal distance from previous prime (26627879459) and next prime (26627879461).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 26627879460.

It is not an unprimeable number, because it can be changed into a prime (26627879461) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 159448297 + ... + 159448463.

It is an arithmetic number, because the mean of its divisors is an integer number (133358400).

Almost surely, 2^26627879460 is an apocalyptic number.

26627879460 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 26627879460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51209625600).

26627879460 is an abundant number, since it is smaller than the sum of its proper divisors (75791371740).

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

26627879460 is a wasteful number, since it uses less digits than its factorization.

26627879460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 57.

The spelling of 26627879460 in words is "twenty-six billion, six hundred twenty-seven million, eight hundred seventy-nine thousand, four hundred sixty".