67480259205744 has 2400 divisors, whose sum is σ = 270640663603200. Its totient is φ = 15989944320000.

The previous prime is 67480259205721. The next prime is 67480259205757. The reversal of 67480259205744 is 44750295208476.

67480259205744 is a `hidden beast` number, since 6 + 7 + 4 + 8 + 0 + 2 + 59 + 2 + 0 + 574 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 164988408612 + ... + 164988409020.

It is an arithmetic number, because the mean of its divisors is an integer number (112766943168).

Almost surely, 2^{67480259205744} 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 67480259205744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135320331801600).

67480259205744 is an abundant number, since it is smaller than the sum of its proper divisors (203160404397456).

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

67480259205744 is a wasteful number, since it uses less digits than its factorization.

67480259205744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 67480259205744 in words is "sixty-seven trillion, four hundred eighty billion, two hundred fifty-nine million, two hundred five thousand, seven hundred forty-four".