949736666720 has 96 divisors (see below), whose sum is σ = 2305109324448. Its totient is φ = 369512644608.

The previous prime is 949736666657. The next prime is 949736666779. The reversal of 949736666720 is 27666637949.

949736666720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×949736666720² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20501504 + ... + 20547776.

It is an arithmetic number, because the mean of its divisors is an integer number (24011555463).

Almost surely, 2^949736666720 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 949736666720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152554662224).

949736666720 is an abundant number, since it is smaller than the sum of its proper divisors (1355372657728).

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

949736666720 is a wasteful number, since it uses less digits than its factorization.

949736666720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49792 (or 49784 counting only the distinct ones).

The product of its (nonzero) digits is 123451776, while the sum is 65.

The spelling of 949736666720 in words is "nine hundred forty-nine billion, seven hundred thirty-six million, six hundred sixty-six thousand, seven hundred twenty".