68249916000 has 288 divisors, whose sum is σ = 276822681408. Its totient is φ = 15599923200.

The previous prime is 68249915999. The next prime is 68249916001. The reversal of 68249916000 is 61994286.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (68249915999) and next prime (68249916001).

It is a tau number, because it is divible by the number of its divisors (288).

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 (68249916001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116584 + ... + 387416.

It is an arithmetic number, because the mean of its divisors is an integer number (961189866).

Almost surely, 2^68249916000 is an apocalyptic number.

68249916000 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 68249916000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138411340704).

68249916000 is an abundant number, since it is smaller than the sum of its proper divisors (208572765408).

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

68249916000 is a wasteful number, since it uses less digits than its factorization.

68249916000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270871 (or 270850 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 68249916000 in words is "sixty-eight billion, two hundred forty-nine million, nine hundred sixteen thousand".