68029104000 has 1536 divisors, whose sum is σ = 287985559680. Its totient is φ = 14057472000.

The previous prime is 68029103963. The next prime is 68029104007. The reversal of 68029104000 is 40192086.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68029104007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1283567974 + ... + 1283568026.

Almost surely, 2^68029104000 is an apocalyptic number.

68029104000 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 68029104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143992779840).

68029104000 is an abundant number, since it is smaller than the sum of its proper divisors (219956455680).

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

68029104000 is a wasteful number, since it uses less digits than its factorization.

68029104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

Adding to 68029104000 its reverse (40192086), we get a palindrome (68069296086).

The spelling of 68029104000 in words is "sixty-eight billion, twenty-nine million, one hundred four thousand".