967951483744 has 96 divisors (see below), whose sum is σ = 2253829729536. Its totient is φ = 400543004160.

The previous prime is 967951483729. The next prime is 967951483799. The reversal of 967951483744 is 447384159769.

It is a super-2 number, since 2×967951483744² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 967951483744.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 639967 + ... + 1531489.

It is an arithmetic number, because the mean of its divisors is an integer number (23477393016).

Almost surely, 2^967951483744 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 967951483744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126914864768).

967951483744 is an abundant number, since it is smaller than the sum of its proper divisors (1285878245792).

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

967951483744 is a wasteful number, since it uses less digits than its factorization.

967951483744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891708 (or 891700 counting only the distinct ones).

The product of its digits is 182891520, while the sum is 67.

The spelling of 967951483744 in words is "nine hundred sixty-seven billion, nine hundred fifty-one million, four hundred eighty-three thousand, seven hundred forty-four".