68124672000 has 1216 divisors, whose sum is σ = 314068884480. Its totient is φ = 14155776000.

The previous prime is 68124671959. The next prime is 68124672037. The reversal of 68124672000 is 27642186.

It is a super-4 number, since 4×68124672000⁴ (a number of 44 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 6193151995 + ... + 6193152005.

Almost surely, 2^68124672000 is an apocalyptic number.

68124672000 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 68124672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157034442240).

68124672000 is an abundant number, since it is smaller than the sum of its proper divisors (245944212480).

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

68124672000 is an frugal number, since it uses more digits than its factorization.

68124672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 68124672000 in words is "sixty-eight billion, one hundred twenty-four million, six hundred seventy-two thousand".