67744770048 has 144 divisors (see below), whose sum is σ = 196087076640. Its totient is φ = 22532235264.

The previous prime is 67744770043. The next prime is 67744770059. The reversal of 67744770048 is 84007744776.

67744770048 is a `hidden beast` number, since 67 + 74 + 477 + 0 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 67744769976 and 67744770003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67744770043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8972611 + ... + 8980157.

It is an arithmetic number, because the mean of its divisors is an integer number (1361715810).

Almost surely, 2^67744770048 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 67744770048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98043538320).

67744770048 is an abundant number, since it is smaller than the sum of its proper divisors (128342306592).

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

67744770048 is a wasteful number, since it uses less digits than its factorization.

67744770048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8062 (or 8039 counting only the distinct ones).

The product of its (nonzero) digits is 7375872, while the sum is 54.

The spelling of 67744770048 in words is "sixty-seven billion, seven hundred forty-four million, seven hundred seventy thousand, forty-eight".