26634666240 has 864 divisors, whose sum is σ = 117744996096. Its totient is φ = 5613649920.

The previous prime is 26634666229. The next prime is 26634666271. The reversal of 26634666240 is 4266643662.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28304170 + ... + 28305110.

Almost surely, 2^26634666240 is an apocalyptic number.

26634666240 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 26634666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58872498048).

26634666240 is an abundant number, since it is smaller than the sum of its proper divisors (91110329856).

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

26634666240 is an equidigital number, since it uses as much as digits as its factorization.

26634666240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 26634666240 in words is "twenty-six billion, six hundred thirty-four million, six hundred sixty-six thousand, two hundred forty".