67198408704 has 480 divisors, whose sum is σ = 234270036000. Its totient is φ = 19183288320.

The previous prime is 67198408699. The next prime is 67198408721. The reversal of 67198408704 is 40780489176.

It is a happy number.

It is a super-2 number, since 2×67198408704² (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 39 ways as a sum of consecutive naturals, for example, 56898994 + ... + 56900174.

It is an arithmetic number, because the mean of its divisors is an integer number (488062575).

Almost surely, 2^67198408704 is an apocalyptic number.

67198408704 is a gapful number since it is divisible by the number (64) 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 67198408704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117135018000).

67198408704 is an abundant number, since it is smaller than the sum of its proper divisors (167071627296).

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

67198408704 is an equidigital number, since it uses as much as digits as its factorization.

67198408704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 67198408704 in words is "sixty-seven billion, one hundred ninety-eight million, four hundred eight thousand, seven hundred four".