26463749760 has 1024 divisors, whose sum is σ = 112893926400. Its totient is φ = 5804752896.

The previous prime is 26463749707. The next prime is 26463749761. The reversal of 26463749760 is 6794736462.

26463749760 is a `hidden beast` number, since 2 + 64 + 6 + 37 + 497 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 26463749697 and 26463749706.

It is not an unprimeable number, because it can be changed into a prime (26463749761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 362517084 + ... + 362517156.

It is an arithmetic number, because the mean of its divisors is an integer number (110247975).

Almost surely, 2^26463749760 is an apocalyptic number.

26463749760 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 26463749760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56446963200).

26463749760 is an abundant number, since it is smaller than the sum of its proper divisors (86430176640).

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

26463749760 is an frugal number, since it uses more digits than its factorization.

26463749760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 26463749760 in words is "twenty-six billion, four hundred sixty-three million, seven hundred forty-nine thousand, seven hundred sixty".