967495968000 has 576 divisors, whose sum is σ = 3606275312640. Its totient is φ = 255421440000.

The previous prime is 967495967983. The next prime is 967495968011. The reversal of 967495968000 is 869594769.

It is a happy number.

967495968000 is a `hidden beast` number, since 9 + 67 + 495 + 9 + 6 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 87258457 + ... + 87269543.

It is an arithmetic number, because the mean of its divisors is an integer number (6260894640).

Almost surely, 2^967495968000 is an apocalyptic number.

967495968000 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 967495968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803137656320).

967495968000 is an abundant number, since it is smaller than the sum of its proper divisors (2638779344640).

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

967495968000 is a wasteful number, since it uses less digits than its factorization.

967495968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11228 (or 11198 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 967495968000 in words is "nine hundred sixty-seven billion, four hundred ninety-five million, nine hundred sixty-eight thousand".