26672933700 has 864 divisors, whose sum is σ = 106697170944. Its totient is φ = 5434490880.

The previous prime is 26672933699. The next prime is 26672933713. The reversal of 26672933700 is 733927662.

It is a super-2 number, since 2×26672933700² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 210023037 + ... + 210023163.

It is an arithmetic number, because the mean of its divisors is an integer number (123492096).

Almost surely, 2^26672933700 is an apocalyptic number.

26672933700 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 26672933700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53348585472).

26672933700 is an abundant number, since it is smaller than the sum of its proper divisors (80024237244).

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

26672933700 is a wasteful number, since it uses less digits than its factorization.

26672933700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The spelling of 26672933700 in words is "twenty-six billion, six hundred seventy-two million, nine hundred thirty-three thousand, seven hundred".