67498125366672 has 2400 divisors, whose sum is σ = 275051998045440. Its totient is φ = 15531147878400.

The previous prime is 67498125366667. The next prime is 67498125366673. The reversal of 67498125366672 is 27666352189476.

It is a happy number.

It is a super-4 number, since 4×67498125366672⁴ (a number of 56 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 67498125366672.

It is not an unprimeable number, because it can be changed into a prime (67498125366673) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 87319696078 + ... + 87319696850.

Almost surely, 2^{67498125366672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67498125366672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137525999022720).

67498125366672 is an abundant number, since it is smaller than the sum of its proper divisors (207553872678768).

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

67498125366672 is a wasteful number, since it uses less digits than its factorization.

67498125366672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1049 counting only the distinct ones).

The product of its digits is 1097349120, while the sum is 72.

The spelling of 67498125366672 in words is "sixty-seven trillion, four hundred ninety-eight billion, one hundred twenty-five million, three hundred sixty-six thousand, six hundred seventy-two".