67975848000 has 672 divisors, whose sum is σ = 256154895360. Its totient is φ = 17841254400.

The previous prime is 67975847977. The next prime is 67975848037. The reversal of 67975848000 is 84857976.

It is a super-2 number, since 2×67975848000² (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 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, 141911761 + ... + 141912239.

It is an arithmetic number, because the mean of its divisors is an integer number (381182880).

Almost surely, 2^67975848000 is an apocalyptic number.

67975848000 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 67975848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128077447680).

67975848000 is an abundant number, since it is smaller than the sum of its proper divisors (188179047360).

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

67975848000 is an equidigital number, since it uses as much as digits as its factorization.

67975848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 67975848000 in words is "sixty-seven billion, nine hundred seventy-five million, eight hundred forty-eight thousand".