68008121082720 has 3456 divisors, whose sum is σ = 310051653230592. Its totient is φ = 13713728716800.

The previous prime is 68008121082703. The next prime is 68008121082877. The reversal of 68008121082720 is 2728012180086.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 250952476185 + ... + 250952476455.

It is an arithmetic number, because the mean of its divisors is an integer number (89714020032).

Almost surely, 2^{68008121082720} is an apocalyptic number.

68008121082720 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 68008121082720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155025826615296).

68008121082720 is an abundant number, since it is smaller than the sum of its proper divisors (242043532147872).

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

68008121082720 is a wasteful number, since it uses less digits than its factorization.

68008121082720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 68008121082720 in words is "sixty-eight trillion, eight billion, one hundred twenty-one million, eighty-two thousand, seven hundred twenty".