9626268441600 has 528 divisors, whose sum is σ = 37429832239200. Its totient is φ = 2416001679360.

The previous prime is 9626268441599. The next prime is 9626268441709. The reversal of 9626268441600 is 61448626269.

9626268441600 is a `hidden beast` number, since 9 + 6 + 2 + 6 + 26 + 8 + 4 + 4 + 1 + 600 = 666.

It is a super-2 number, since 2×9626268441600² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11340786 + ... + 12160014.

Almost surely, 2^{9626268441600} is an apocalyptic number.

9626268441600 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 9626268441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18714916119600).

9626268441600 is an abundant number, since it is smaller than the sum of its proper divisors (27803563797600).

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

9626268441600 is a wasteful number, since it uses less digits than its factorization.

9626268441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819285 (or 819256 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 9626268441600 in words is "nine trillion, six hundred twenty-six billion, two hundred sixty-eight million, four hundred forty-one thousand, six hundred".