67263130944 has 336 divisors, whose sum is σ = 204657643008. Its totient is φ = 21898833408.

The previous prime is 67263130933. The next prime is 67263130951. The reversal of 67263130944 is 44903136276.

67263130944 is a `hidden beast` number, since 6 + 7 + 2 + 631 + 3 + 0 + 9 + 4 + 4 = 666.

67263130944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×67263130944² (a number of 22 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 67263130944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138117069 + ... + 138117555.

It is an arithmetic number, because the mean of its divisors is an integer number (609100128).

Almost surely, 2^67263130944 is an apocalyptic number.

67263130944 is a gapful number since it is divisible by the number (64) 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 67263130944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102328821504).

67263130944 is an abundant number, since it is smaller than the sum of its proper divisors (137394512064).

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

67263130944 is a wasteful number, since it uses less digits than its factorization.

67263130944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 67263130944 in words is "sixty-seven billion, two hundred sixty-three million, one hundred thirty thousand, nine hundred forty-four".