949967890560 has 384 divisors, whose sum is σ = 3534709978800. Its totient is φ = 233704783872.

The previous prime is 949967890559. The next prime is 949967890577. The reversal of 949967890560 is 65098769949.

949967890560 is a `hidden beast` number, since 9 + 499 + 6 + 7 + 89 + 0 + 56 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2055352896 + 947912537664 = 45336^2 + 973608^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×949967890560² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222316584 + ... + 222320856.

Almost surely, 2^949967890560 is an apocalyptic number.

949967890560 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 949967890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767354989400).

949967890560 is an abundant number, since it is smaller than the sum of its proper divisors (2584742088240).

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

949967890560 is a wasteful number, since it uses less digits than its factorization.

949967890560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7280 (or 7265 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 72.

The spelling of 949967890560 in words is "nine hundred forty-nine billion, nine hundred sixty-seven million, eight hundred ninety thousand, five hundred sixty".