9770362868448 has 960 divisors, whose sum is σ = 36115954237440. Its totient is φ = 2522341306368.

The previous prime is 9770362868443. The next prime is 9770362868449. The reversal of 9770362868448 is 8448682630779.

9770362868448 is a `hidden beast` number, since 9 + 7 + 70 + 36 + 2 + 86 + 8 + 448 = 666.

It is a super-2 number, since 2×9770362868448² (a number of 27 digits) contains 22 as substring.

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 (9770362868443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8988373761 + ... + 8988374847.

It is an arithmetic number, because the mean of its divisors is an integer number (37620785664).

Almost surely, 2^{9770362868448} 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 9770362868448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18057977118720).

9770362868448 is an abundant number, since it is smaller than the sum of its proper divisors (26345591368992).

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

9770362868448 is a wasteful number, since it uses less digits than its factorization.

9770362868448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 780337152, while the sum is 72.

The spelling of 9770362868448 in words is "nine trillion, seven hundred seventy billion, three hundred sixty-two million, eight hundred sixty-eight thousand, four hundred forty-eight".