9777433901664 has 192 divisors, whose sum is σ = 30171687211008. Its totient is φ = 2733232128000.

The previous prime is 9777433901657. The next prime is 9777433901671. The reversal of 9777433901664 is 4661093347779.

9777433901664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9777433901657) and next prime (9777433901671).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 9777433901595 and 9777433901604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21756097 + ... + 22200959.

It is an arithmetic number, because the mean of its divisors is an integer number (157144204224).

Almost surely, 2^{9777433901664} 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 9777433901664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15085843605504).

9777433901664 is an abundant number, since it is smaller than the sum of its proper divisors (20394253309344).

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

9777433901664 is a wasteful number, since it uses less digits than its factorization.

9777433901664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446501 (or 446493 counting only the distinct ones).

The product of its (nonzero) digits is 144027072, while the sum is 66.

The spelling of 9777433901664 in words is "nine trillion, seven hundred seventy-seven billion, four hundred thirty-three million, nine hundred one thousand, six hundred sixty-four".