68125639680 has 880 divisors, whose sum is σ = 288379001856. Its totient is φ = 15049359360.

The previous prime is 68125639669. The next prime is 68125639697. The reversal of 68125639680 is 8693652186.

It is a happy number.

68125639680 is a `hidden beast` number, since 6 + 8 + 12 + 563 + 9 + 68 + 0 = 666.

It is a super-2 number, since 2×68125639680² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 89993862 + ... + 89994618.

Almost surely, 2^68125639680 is an apocalyptic number.

68125639680 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 68125639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144189500928).

68125639680 is an abundant number, since it is smaller than the sum of its proper divisors (220253362176).

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

68125639680 is a wasteful number, since it uses less digits than its factorization.

68125639680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 68125639680 in words is "sixty-eight billion, one hundred twenty-five million, six hundred thirty-nine thousand, six hundred eighty".