67525275767040 has 1728 divisors, whose sum is σ = 315738081824256. Its totient is φ = 13408931414016.

The previous prime is 67525275767039. The next prime is 67525275767113. The reversal of 67525275767040 is 4076757252576.

It is a happy number.

67525275767040 is a `hidden beast` number, since 6 + 7 + 5 + 2 + 52 + 7 + 576 + 7 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 481108714 + ... + 481249046.

It is an arithmetic number, because the mean of its divisors is an integer number (182718797352).

Almost surely, 2^{67525275767040} is an apocalyptic number.

67525275767040 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 67525275767040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157869040912128).

67525275767040 is an abundant number, since it is smaller than the sum of its proper divisors (248212806057216).

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

67525275767040 is a wasteful number, since it uses less digits than its factorization.

67525275767040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140406 (or 140380 counting only the distinct ones).

The product of its (nonzero) digits is 172872000, while the sum is 63.

The spelling of 67525275767040 in words is "sixty-seven trillion, five hundred twenty-five billion, two hundred seventy-five million, seven hundred sixty-seven thousand, forty".