67612563513040 has 960 divisors, whose sum is σ = 207539847599616. Its totient is φ = 20265182429184.

The previous prime is 67612563513031. The next prime is 67612563513071. The reversal of 67612563513040 is 4031536521676.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

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, 58136339499 + ... + 58136340661.

Almost surely, 2^{67612563513040} 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 67612563513040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103769923799808).

67612563513040 is an abundant number, since it is smaller than the sum of its proper divisors (139927284086576).

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

67612563513040 is a wasteful number, since it uses less digits than its factorization.

67612563513040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 49.

The spelling of 67612563513040 in words is "sixty-seven trillion, six hundred twelve billion, five hundred sixty-three million, five hundred thirteen thousand, forty".