68015587200 has 768 divisors, whose sum is σ = 256440729600. Its totient is φ = 15694848000.

The previous prime is 68015587177. The next prime is 68015587223. The reversal of 68015587200 is 278551086.

It is an interprime number because it is at equal distance from previous prime (68015587177) and next prime (68015587223).

It is a super-2 number, since 2×68015587200² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 258614269 + ... + 258614531.

It is an arithmetic number, because the mean of its divisors is an integer number (333907200).

Almost surely, 2^68015587200 is an apocalyptic number.

68015587200 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 68015587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128220364800).

68015587200 is an abundant number, since it is smaller than the sum of its proper divisors (188425142400).

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

68015587200 is a wasteful number, since it uses less digits than its factorization.

68015587200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

The spelling of 68015587200 in words is "sixty-eight billion, fifteen million, five hundred eighty-seven thousand, two hundred".