26672023440 has 400 divisors, whose sum is σ = 94873052736. Its totient is φ = 6943104000.

The previous prime is 26672023421. The next prime is 26672023447. The reversal of 26672023440 is 4432027662.

26672023440 is a `hidden beast` number, since 2 + 6 + 6 + 7 + 202 + 3 + 440 = 666.

It is a super-2 number, since 2×26672023440² (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 junction number, because it is equal to n+sod(n) for n = 26672023395 and 26672023404.

It is not an unprimeable number, because it can be changed into a prime (26672023447) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 54321595 + ... + 54322085.

Almost surely, 2^26672023440 is an apocalyptic number.

26672023440 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 26672023440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47436526368).

26672023440 is an abundant number, since it is smaller than the sum of its proper divisors (68201029296).

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

26672023440 is a wasteful number, since it uses less digits than its factorization.

26672023440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 26672023440 in words is "twenty-six billion, six hundred seventy-two million, twenty-three thousand, four hundred forty".