68403009060864 has 384 divisors, whose sum is σ = 205503814152000. Its totient is φ = 22736540270592.

The previous prime is 68403009060847. The next prime is 68403009060877. The reversal of 68403009060864 is 46806090030486.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 68403009060864.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2858570052 + ... + 2858593980.

Almost surely, 2^{68403009060864} is an apocalyptic number.

68403009060864 is a gapful number since it is divisible by the number (64) 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 68403009060864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102751907076000).

68403009060864 is an abundant number, since it is smaller than the sum of its proper divisors (137100805091136).

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

68403009060864 is an frugal number, since it uses more digits than its factorization.

68403009060864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24333 (or 24293 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 68403009060864 in words is "sixty-eight trillion, four hundred three billion, nine million, sixty thousand, eight hundred sixty-four".