68645861040384 has 576 divisors, whose sum is σ = 213136939008000. Its totient is φ = 21770673315840.

The previous prime is 68645861040377. The next prime is 68645861040431. The reversal of 68645861040384 is 48304016854686.

It is a happy number.

68645861040384 is a `hidden beast` number, since 6 + 8 + 6 + 4 + 5 + 8 + 610 + 4 + 0 + 3 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2881967227 + ... + 2881991045.

It is an arithmetic number, because the mean of its divisors is an integer number (370029408000).

Almost surely, 2^{68645861040384} is an apocalyptic number.

68645861040384 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 68645861040384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106568469504000).

68645861040384 is an abundant number, since it is smaller than the sum of its proper divisors (144491077967616).

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

68645861040384 is a wasteful number, since it uses less digits than its factorization.

68645861040384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24131 (or 24111 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 63.

The spelling of 68645861040384 in words is "sixty-eight trillion, six hundred forty-five billion, eight hundred sixty-one million, forty thousand, three hundred eighty-four".