26632036480 has 128 divisors (see below), whose sum is σ = 72885576960. Its totient is φ = 9115545600.

The previous prime is 26632036397. The next prime is 26632036493. The reversal of 26632036480 is 8463023662.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2822170 + ... + 2831590.

It is an arithmetic number, because the mean of its divisors is an integer number (569418570).

Almost surely, 2^26632036480 is an apocalyptic number.

26632036480 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 26632036480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36442788480).

26632036480 is an abundant number, since it is smaller than the sum of its proper divisors (46253540480).

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

26632036480 is an equidigital number, since it uses as much as digits as its factorization.

26632036480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10078 (or 10066 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 40.

The spelling of 26632036480 in words is "twenty-six billion, six hundred thirty-two million, thirty-six thousand, four hundred eighty".