67426007040 has 1152 divisors, whose sum is σ = 286191360000. Its totient is φ = 15216574464.

The previous prime is 67426007039. The next prime is 67426007069. The reversal of 67426007040 is 4070062476.

67426007040 is a `hidden beast` number, since 6 + 7 + 4 + 2 + 600 + 7 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 67426006986 and 67426007004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 853493721 + ... + 853493799.

It is an arithmetic number, because the mean of its divisors is an integer number (248430000).

Almost surely, 2^67426007040 is an apocalyptic number.

67426007040 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 67426007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143095680000).

67426007040 is an abundant number, since it is smaller than the sum of its proper divisors (218765352960).

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

67426007040 is an frugal number, since it uses more digits than its factorization.

67426007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 67426007040 in words is "sixty-seven billion, four hundred twenty-six million, seven thousand, forty".