68742576000 has 768 divisors, whose sum is σ = 288340715520. Its totient is φ = 15367680000.

The previous prime is 68742575969. The next prime is 68742576017. The reversal of 68742576000 is 67524786.

68742576000 is a `hidden beast` number, since 6 + 8 + 74 + 2 + 576 + 0 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47375275 + ... + 47376725.

It is an arithmetic number, because the mean of its divisors is an integer number (375443640).

Almost surely, 2^68742576000 is an apocalyptic number.

68742576000 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 68742576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144170357760).

68742576000 is an abundant number, since it is smaller than the sum of its proper divisors (219598139520).

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

68742576000 is a wasteful number, since it uses less digits than its factorization.

68742576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 68742576000 in words is "sixty-eight billion, seven hundred forty-two million, five hundred seventy-six thousand".