67120200000 has 756 divisors, whose sum is σ = 280097439804. Its totient is φ = 15321600000.

The previous prime is 67120199999. The next prime is 67120200029. The reversal of 67120200000 is 202176.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 66849136704 + 271063296 = 258552^2 + 16464^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 88199620 + ... + 88200380.

It is an arithmetic number, because the mean of its divisors is an integer number (370499259).

Almost surely, 2^67120200000 is an apocalyptic number.

67120200000 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 67120200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140048719902).

67120200000 is an abundant number, since it is smaller than the sum of its proper divisors (212977239804).

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

67120200000 is an equidigital number, since it uses as much as digits as its factorization.

67120200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

Adding to 67120200000 its reverse (202176), we get a palindrome (67120402176).

The spelling of 67120200000 in words is "sixty-seven billion, one hundred twenty million, two hundred thousand".