9926435258640 has 800 divisors, whose sum is σ = 36953394331392. Its totient is φ = 2463436800000.

The previous prime is 9926435258633. The next prime is 9926435258693. The reversal of 9926435258640 is 468525346299.

It is a happy number.

9926435258640 is a `hidden beast` number, since 9 + 9 + 2 + 6 + 4 + 3 + 5 + 2 + 586 + 40 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2450364615 + ... + 2450368665.

Almost surely, 2^{9926435258640} is an apocalyptic number.

9926435258640 is a gapful number since it is divisible by the number (90) 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 9926435258640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18476697165696).

9926435258640 is an abundant number, since it is smaller than the sum of its proper divisors (27026959072752).

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

9926435258640 is a wasteful number, since it uses less digits than its factorization.

9926435258640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4541 (or 4526 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 9926435258640 in words is "nine trillion, nine hundred twenty-six billion, four hundred thirty-five million, two hundred fifty-eight thousand, six hundred forty".