26649181440 has 720 divisors, whose sum is σ = 110690350848. Its totient is φ = 5995855872.

The previous prime is 26649181423. The next prime is 26649181457. The reversal of 26649181440 is 4418194662.

26649181440 is a `hidden beast` number, since 26 + 6 + 4 + 9 + 181 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (26649181423) and next prime (26649181457).

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 52980229 + ... + 52980731.

Almost surely, 2^26649181440 is an apocalyptic number.

26649181440 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 26649181440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55345175424).

26649181440 is an abundant number, since it is smaller than the sum of its proper divisors (84041169408).

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

26649181440 is an equidigital number, since it uses as much as digits as its factorization.

26649181440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 26649181440 in words is "twenty-six billion, six hundred forty-nine million, one hundred eighty-one thousand, four hundred forty".