26700606900 has 648 divisors, whose sum is σ = 99879107328. Its totient is φ = 5909760000.

The previous prime is 26700606899. The next prime is 26700606901. The reversal of 26700606900 is 960600762.

It is an interprime number because it is at equal distance from previous prime (26700606899) and next prime (26700606901).

It is a super-2 number, since 2×26700606900² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26700606901) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 110790780 + ... + 110791020.

Almost surely, 2^26700606900 is an apocalyptic number.

26700606900 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 26700606900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49939553664).

26700606900 is an abundant number, since it is smaller than the sum of its proper divisors (73178500428).

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

26700606900 is a wasteful number, since it uses less digits than its factorization.

26700606900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 26700606900 in words is "twenty-six billion, seven hundred million, six hundred six thousand, nine hundred".