67444207476642 has 128 divisors (see below), whose sum is σ = 154027231706880. Its totient is φ = 21862361272320.

The previous prime is 67444207476641. The next prime is 67444207476643. The reversal of 67444207476642 is 24667470244476.

67444207476642 is a `hidden beast` number, since 6 + 7 + 44 + 420 + 74 + 7 + 66 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (67444207476641) and next prime (67444207476643).

It is a super-2 number, since 2×67444207476642² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 67444207476642.

It is not an unprimeable number, because it can be changed into a prime (67444207476641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 988492533 + ... + 988560759.

It is an arithmetic number, because the mean of its divisors is an integer number (1203337747710).

Almost surely, 2^{67444207476642} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67444207476642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77013615853440).

67444207476642 is an abundant number, since it is smaller than the sum of its proper divisors (86583024230238).

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

67444207476642 is a wasteful number, since it uses less digits than its factorization.

67444207476642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69713 (or 69707 counting only the distinct ones).

The product of its (nonzero) digits is 303464448, while the sum is 63.

The spelling of 67444207476642 in words is "sixty-seven trillion, four hundred forty-four billion, two hundred seven million, four hundred seventy-six thousand, six hundred forty-two".