67207125440 has 448 divisors, whose sum is σ = 209690208000. Its totient is φ = 19910098944.

The previous prime is 67207125373. The next prime is 67207125443. The reversal of 67207125440 is 4452170276.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 67207125394 and 67207125403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67207125443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 172768766 + ... + 172769154.

It is an arithmetic number, because the mean of its divisors is an integer number (468058500).

Almost surely, 2^67207125440 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 67207125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104845104000).

67207125440 is an abundant number, since it is smaller than the sum of its proper divisors (142483082560).

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

67207125440 is a wasteful number, since it uses less digits than its factorization.

67207125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 38.

The spelling of 67207125440 in words is "sixty-seven billion, two hundred seven million, one hundred twenty-five thousand, four hundred forty".