9949770860832 has 144 divisors (see below), whose sum is σ = 30878589897792. Its totient is φ = 3013940482560.

The previous prime is 9949770860759. The next prime is 9949770860839. The reversal of 9949770860832 is 2380680779499.

9949770860832 is a `hidden beast` number, since 9 + 9 + 4 + 9 + 7 + 7 + 0 + 8 + 608 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (9949770860839) 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 23 ways as a sum of consecutive naturals, for example, 7792438 + ... + 8978954.

It is an arithmetic number, because the mean of its divisors is an integer number (214434652068).

Almost surely, 2^{9949770860832} 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 9949770860832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15439294948896).

9949770860832 is an abundant number, since it is smaller than the sum of its proper divisors (20928819036960).

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

9949770860832 is a wasteful number, since it uses less digits than its factorization.

9949770860832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189191 (or 1189180 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 9949770860832 in words is "nine trillion, nine hundred forty-nine billion, seven hundred seventy million, eight hundred sixty thousand, eight hundred thirty-two".