67840003200 has 768 divisors, whose sum is σ = 243157294080. Its totient is φ = 16588800000.

The previous prime is 67840003183. The next prime is 67840003201. The reversal of 67840003200 is 230004876.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (67840003201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 671683150 + ... + 671683250.

It is an arithmetic number, because the mean of its divisors is an integer number (316611060).

Almost surely, 2^67840003200 is an apocalyptic number.

67840003200 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 67840003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121578647040).

67840003200 is an abundant number, since it is smaller than the sum of its proper divisors (175317290880).

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

67840003200 is a wasteful number, since it uses less digits than its factorization.

67840003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 67840003200 in words is "sixty-seven billion, eight hundred forty million, three thousand, two hundred".