68479415928000 has 2688 divisors, whose sum is σ = 317953302331392. Its totient is φ = 14174092800000.

The previous prime is 68479415927983. The next prime is 68479415928013. The reversal of 68479415928000 is 82951497486.

68479415928000 is a `hidden beast` number, since 6 + 8 + 479 + 4 + 159 + 2 + 8 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 46552967265 + ... + 46552968735.

It is an arithmetic number, because the mean of its divisors is an integer number (118286198784).

Almost surely, 2^{68479415928000} is an apocalyptic number.

68479415928000 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 68479415928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158976651165696).

68479415928000 is an abundant number, since it is smaller than the sum of its proper divisors (249473886403392).

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

68479415928000 is a wasteful number, since it uses less digits than its factorization.

68479415928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 68479415928000 in words is "sixty-eight trillion, four hundred seventy-nine billion, four hundred fifteen million, nine hundred twenty-eight thousand".