10426613760 has 256 divisors, whose sum is σ = 37087567200. Its totient is φ = 2779250688.

The previous prime is 10426613719. The next prime is 10426613783. The reversal of 10426613760 is 6731662401.

It is a happy number.

10426613760 is a `hidden beast` number, since 10 + 4 + 26 + 613 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 4422502 + ... + 4424858.

Almost surely, 2^10426613760 is an apocalyptic number.

10426613760 is a gapful number since it is divisible by the number (10) 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 10426613760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18543783600).

10426613760 is an abundant number, since it is smaller than the sum of its proper divisors (26660953440).

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

10426613760 is an frugal number, since it uses more digits than its factorization.

10426613760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2401 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 10426613760 in words is "ten billion, four hundred twenty-six million, six hundred thirteen thousand, seven hundred sixty".