68500033136640 has 2688 divisors, whose sum is σ = 308596290912000. Its totient is φ = 14222647885824.

The previous prime is 68500033136609. The next prime is 68500033136663. The reversal of 68500033136640 is 4663133000586.

68500033136640 is a `hidden beast` number, since 6 + 8 + 500 + 0 + 3 + 3 + 136 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 25761575631 + ... + 25761578289.

It is an arithmetic number, because the mean of its divisors is an integer number (114805167750).

Almost surely, 2^{68500033136640} is an apocalyptic number.

68500033136640 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 68500033136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154298145456000).

68500033136640 is an abundant number, since it is smaller than the sum of its proper divisors (240096257775360).

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

68500033136640 is a wasteful number, since it uses less digits than its factorization.

68500033136640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2757 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 68500033136640 in words is "sixty-eight trillion, five hundred billion, thirty-three million, one hundred thirty-six thousand, six hundred forty".