968950379904 has 256 divisors, whose sum is σ = 2934553708800. Its totient is φ = 280809676800.

The previous prime is 968950379869. The next prime is 968950379933. The reversal of 968950379904 is 409973059869.

It is a super-2 number, since 2×968950379904² (a number of 25 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 16379179 + ... + 16438229.

It is an arithmetic number, because the mean of its divisors is an integer number (11463100425).

Almost surely, 2^968950379904 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 968950379904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467276854400).

968950379904 is an abundant number, since it is smaller than the sum of its proper divisors (1965603328896).

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

968950379904 is a wasteful number, since it uses less digits than its factorization.

968950379904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59273 (or 59261 counting only the distinct ones).

The product of its (nonzero) digits is 132269760, while the sum is 69.

The spelling of 968950379904 in words is "nine hundred sixty-eight billion, nine hundred fifty million, three hundred seventy-nine thousand, nine hundred four".