60968896800 has 432 divisors, whose sum is σ = 240902206272. Its totient is φ = 13329254400.

The previous prime is 60968896799. The next prime is 60968896801. The reversal of 60968896800 is 869886906.

It is an interprime number because it is at equal distance from previous prime (60968896799) and next prime (60968896801).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (60968896801) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 2693530 + ... + 2716070.

It is an arithmetic number, because the mean of its divisors is an integer number (557643996).

Almost surely, 2^60968896800 is an apocalyptic number.

60968896800 is a gapful number since it is divisible by the number (60) 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 60968896800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120451103136).

60968896800 is an abundant number, since it is smaller than the sum of its proper divisors (179933309472).

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

60968896800 is a wasteful number, since it uses less digits than its factorization.

60968896800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22601 (or 22581 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 60.

The spelling of 60968896800 in words is "sixty billion, nine hundred sixty-eight million, eight hundred ninety-six thousand, eight hundred".