9774765649152 has 1728 divisors, whose sum is σ = 37289569121280. Its totient is φ = 2506987929600.

The previous prime is 9774765649087. The next prime is 9774765649153. The reversal of 9774765649152 is 2519465674779.

9774765649152 is a `hidden beast` number, since 9 + 7 + 7 + 4 + 7 + 6 + 564 + 9 + 1 + 52 = 666.

9774765649152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9774765649153) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11095079752 + ... + 11095080632.

It is an arithmetic number, because the mean of its divisors is an integer number (21579611760).

Almost surely, 2^{9774765649152} 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 9774765649152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18644784560640).

9774765649152 is an abundant number, since it is smaller than the sum of its proper divisors (27514803472128).

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

9774765649152 is a wasteful number, since it uses less digits than its factorization.

9774765649152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 998 counting only the distinct ones).

The product of its digits is 800150400, while the sum is 72.

The spelling of 9774765649152 in words is "nine trillion, seven hundred seventy-four billion, seven hundred sixty-five million, six hundred forty-nine thousand, one hundred fifty-two".