26782462080 has 640 divisors, whose sum is σ = 106048388160. Its totient is φ = 6386688000.

The previous prime is 26782462061. The next prime is 26782462087. The reversal of 26782462080 is 8026428762.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (26782462087) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38205730 + ... + 38206430.

Almost surely, 2^26782462080 is an apocalyptic number.

26782462080 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 26782462080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53024194080).

26782462080 is an abundant number, since it is smaller than the sum of its proper divisors (79265926080).

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

26782462080 is a wasteful number, since it uses less digits than its factorization.

26782462080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 26782462080 in words is "twenty-six billion, seven hundred eighty-two million, four hundred sixty-two thousand, eighty".