26948700324 has 360 divisors, whose sum is σ = 90666030840. Its totient is φ = 6913299456.

The previous prime is 26948700319. The next prime is 26948700377. The reversal of 26948700324 is 42300784962.

It can be written as a sum of positive squares in 4 ways, for example, as 937461924 + 26011238400 = 30618^2 + 161280^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 26948700324.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7634592 + ... + 7638120.

Almost surely, 2^26948700324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26948700324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45333015420).

26948700324 is an abundant number, since it is smaller than the sum of its proper divisors (63717330516).

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

26948700324 is a wasteful number, since it uses less digits than its factorization.

26948700324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3609 (or 3591 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 26948700324 in words is "twenty-six billion, nine hundred forty-eight million, seven hundred thousand, three hundred twenty-four".