949010587680 has 96 divisors (see below), whose sum is σ = 2989573852608. Its totient is φ = 253053363200.

The previous prime is 949010587649. The next prime is 949010587687. The reversal of 949010587680 is 86785010949.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 949010587680.

It is not an unprimeable number, because it can be changed into a prime (949010587687) 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 15 ways as a sum of consecutive naturals, for example, 8764270 + ... + 8871890.

It is an arithmetic number, because the mean of its divisors is an integer number (31141394298).

Almost surely, 2^949010587680 is an apocalyptic number.

It is an amenable number.

949010587680 is an abundant number, since it is smaller than the sum of its proper divisors (2040563264928).

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

949010587680 is a wasteful number, since it uses less digits than its factorization.

949010587680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126010 (or 126002 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 57.

The spelling of 949010587680 in words is "nine hundred forty-nine billion, ten million, five hundred eighty-seven thousand, six hundred eighty".