26407413648 has 360 divisors, whose sum is σ = 93267405504. Its totient is φ = 6827420160.

The previous prime is 26407413631. The next prime is 26407413649. The reversal of 26407413648 is 84631470462.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26407413649) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38663515 + ... + 38664197.

Almost surely, 2^26407413648 is an apocalyptic number.

26407413648 is a gapful number since it is divisible by the number (28) 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 26407413648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46633702752).

26407413648 is an abundant number, since it is smaller than the sum of its proper divisors (66859991856).

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

26407413648 is a wasteful number, since it uses less digits than its factorization.

26407413648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 26407413648 in words is "twenty-six billion, four hundred seven million, four hundred thirteen thousand, six hundred forty-eight".