9787375791648 has 576 divisors, whose sum is σ = 36289945036800. Its totient is φ = 2428167684096.

The previous prime is 9787375791619. The next prime is 9787375791653. The reversal of 9787375791648 is 8461975737879.

9787375791648 is a `hidden beast` number, since 9 + 7 + 8 + 7 + 37 + 579 + 1 + 6 + 4 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1068836286 + ... + 1068845442.

It is an arithmetic number, because the mean of its divisors is an integer number (63003376800).

Almost surely, 2^{9787375791648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9787375791648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144972518400).

9787375791648 is an abundant number, since it is smaller than the sum of its proper divisors (26502569245152).

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

9787375791648 is a wasteful number, since it uses less digits than its factorization.

9787375791648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11609 (or 11598 counting only the distinct ones).

The product of its digits is 4480842240, while the sum is 81.

The spelling of 9787375791648 in words is "nine trillion, seven hundred eighty-seven billion, three hundred seventy-five million, seven hundred ninety-one thousand, six hundred forty-eight".