1950475968 has 252 divisors, whose sum is σ = 6730532640. Its totient is φ = 537836544.

The previous prime is 1950475931. The next prime is 1950475981. The reversal of 1950475968 is 8695740591.

1950475968 is a `hidden beast` number, since 1 + 9 + 5 + 0 + 47 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-5 number, since 5×1950475968⁵ (a number of 48 digits) contains 55555 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 817305 + ... + 819687.

Almost surely, 2^1950475968 is an apocalyptic number.

1950475968 is a gapful number since it is divisible by the number (18) 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 1950475968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3365266320).

1950475968 is an abundant number, since it is smaller than the sum of its proper divisors (4780056672).

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

1950475968 is a wasteful number, since it uses less digits than its factorization.

1950475968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444 (or 2424 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The square root of 1950475968 is about 44164.1932791713. The cubic root of 1950475968 is about 1249.4346174860.

The spelling of 1950475968 in words is "one billion, nine hundred fifty million, four hundred seventy-five thousand, nine hundred sixty-eight".