9748377849600 has 2592 divisors, whose sum is σ = 42601046691840. Its totient is φ = 2104322457600.

The previous prime is 9748377849593. The next prime is 9748377849611. The reversal of 9748377849600 is 69487738479.

9748377849600 is a `hidden beast` number, since 9 + 7 + 4 + 8 + 3 + 7 + 7 + 8 + 4 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 314463801585 + ... + 314463801615.

Almost surely, 2^{9748377849600} is an apocalyptic number.

9748377849600 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 9748377849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21300523345920).

9748377849600 is an abundant number, since it is smaller than the sum of its proper divisors (32852668842240).

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

9748377849600 is a wasteful number, since it uses less digits than its factorization.

9748377849600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

The spelling of 9748377849600 in words is "nine trillion, seven hundred forty-eight billion, three hundred seventy-seven million, eight hundred forty-nine thousand, six hundred".