968129076096 has 448 divisors, whose sum is σ = 3559070145120. Its totient is φ = 255328505856.

The previous prime is 968129076059. The next prime is 968129076143. The reversal of 968129076096 is 690670921869.

It is a happy number.

968129076096 is a `hidden beast` number, since 9 + 6 + 8 + 12 + 9 + 0 + 7 + 609 + 6 = 666.

968129076096 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8434386 + ... + 8548398.

Almost surely, 2^968129076096 is an apocalyptic number.

968129076096 is a gapful number since it is divisible by the number (96) 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 968129076096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779535072560).

968129076096 is an abundant number, since it is smaller than the sum of its proper divisors (2590941069024).

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

968129076096 is a wasteful number, since it uses less digits than its factorization.

968129076096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114065 (or 114038 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 968129076096 in words is "nine hundred sixty-eight billion, one hundred twenty-nine million, seventy-six thousand, ninety-six".