68657580000 has 360 divisors, whose sum is σ = 247663103688. Its totient is φ = 18032256000.

The previous prime is 68657579993. The next prime is 68657580007. The reversal of 68657580000 is 8575686.

68657580000 is a `hidden beast` number, since 6 + 8 + 65 + 7 + 580 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (68657579993) and next prime (68657580007).

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68657580007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12057154 + ... + 12062846.

Almost surely, 2^68657580000 is an apocalyptic number.

68657580000 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 68657580000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123831551844).

68657580000 is an abundant number, since it is smaller than the sum of its proper divisors (179005523688).

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

68657580000 is a wasteful number, since it uses less digits than its factorization.

68657580000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5796 (or 5770 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 68657580000 in words is "sixty-eight billion, six hundred fifty-seven million, five hundred eighty thousand".