949537308960 has 384 divisors, whose sum is σ = 3583632326400. Its totient is φ = 234031472640.

The previous prime is 949537308959. The next prime is 949537308977. The reversal of 949537308960 is 69803735949.

949537308960 is a `hidden beast` number, since 9 + 4 + 9 + 537 + 3 + 0 + 8 + 96 + 0 = 666.

It is a super-2 number, since 2×949537308960² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3224202 + ... + 3506358.

It is an arithmetic number, because the mean of its divisors is an integer number (9332375850).

Almost surely, 2^949537308960 is an apocalyptic number.

949537308960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 949537308960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791816163200).

949537308960 is an abundant number, since it is smaller than the sum of its proper divisors (2634095017440).

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

949537308960 is a wasteful number, since it uses less digits than its factorization.

949537308960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282241 (or 282227 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 949537308960 in words is "nine hundred forty-nine billion, five hundred thirty-seven million, three hundred eight thousand, nine hundred sixty".