949952917760 has 1296 divisors, whose sum is σ = 3092666645376. Its totient is φ = 278175744000.

The previous prime is 949952917673. The next prime is 949952917763. The reversal of 949952917760 is 67719259949.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (949952917763) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13379618525 + ... + 13379618595.

It is an arithmetic number, because the mean of its divisors is an integer number (2386316856).

Almost surely, 2^949952917760 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 949952917760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546333322688).

949952917760 is an abundant number, since it is smaller than the sum of its proper divisors (2142713727616).

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

949952917760 is a wasteful number, since it uses less digits than its factorization.

949952917760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 77157360, while the sum is 68.

The spelling of 949952917760 in words is "nine hundred forty-nine billion, nine hundred fifty-two million, nine hundred seventeen thousand, seven hundred sixty".