67042061772000 has 768 divisors, whose sum is σ = 256651092891648. Its totient is φ = 14983048396800.

The previous prime is 67042061771999. The next prime is 67042061772067. The reversal of 67042061772000 is 27716024076.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 676234434 + ... + 676333566.

It is an arithmetic number, because the mean of its divisors is an integer number (334181110536).

Almost surely, 2^{67042061772000} is an apocalyptic number.

67042061772000 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 67042061772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128325546445824).

67042061772000 is an abundant number, since it is smaller than the sum of its proper divisors (189609031119648).

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

67042061772000 is a wasteful number, since it uses less digits than its factorization.

67042061772000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99348 (or 99330 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 42.

Adding to 67042061772000 its reverse (27716024076), we get a palindrome (67069777796076).

The spelling of 67042061772000 in words is "sixty-seven trillion, forty-two billion, sixty-one million, seven hundred seventy-two thousand".