67040407762560 has 256 divisors, whose sum is σ = 237467449296000. Its totient is φ = 17874982084608.

The previous prime is 67040407762553. The next prime is 67040407762577. The reversal of 67040407762560 is 6526770404076.

67040407762560 is a `hidden beast` number, since 6 + 7 + 0 + 4 + 0 + 4 + 0 + 7 + 7 + 625 + 6 + 0 = 666.

67040407762560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 67040407762497 and 67040407762506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127073079 + ... + 127599561.

Almost surely, 2^{67040407762560} is an apocalyptic number.

67040407762560 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 67040407762560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118733724648000).

67040407762560 is an abundant number, since it is smaller than the sum of its proper divisors (170427041533440).

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

67040407762560 is a wasteful number, since it uses less digits than its factorization.

67040407762560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533880 (or 533862 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 67040407762560 in words is "sixty-seven trillion, forty billion, four hundred seven million, seven hundred sixty-two thousand, five hundred sixty".