67445337960 has 768 divisors, whose sum is σ = 303575040000. Its totient is φ = 12933872640.

The previous prime is 67445337943. The next prime is 67445337979. The reversal of 67445337960 is 6973354476.

It is a happy number.

67445337960 is a `hidden beast` number, since 6 + 7 + 44 + 533 + 7 + 9 + 60 = 666.

It is a super-2 number, since 2×67445337960² (a number of 22 digits) contains 22 as substring.

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 = 67445337897 and 67445337906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14051641 + ... + 14056439.

It is an arithmetic number, because the mean of its divisors is an integer number (395280000).

Almost surely, 2^67445337960 is an apocalyptic number.

67445337960 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 67445337960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151787520000).

67445337960 is an abundant number, since it is smaller than the sum of its proper divisors (236129702040).

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

67445337960 is a wasteful number, since it uses less digits than its factorization.

67445337960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4863 (or 4840 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 67445337960 in words is "sixty-seven billion, four hundred forty-five million, three hundred thirty-seven thousand, nine hundred sixty".