67138475040 has 864 divisors, whose sum is σ = 292644149616. Its totient is φ = 13888143360.

The previous prime is 67138475017. The next prime is 67138475087. The reversal of 67138475040 is 4057483176.

67138475040 is a `hidden beast` number, since 6 + 7 + 138 + 4 + 7 + 504 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 22080771216 + 45057703824 = 148596^2 + 212268^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 48615150 + ... + 48616530.

Almost surely, 2^67138475040 is an apocalyptic number.

67138475040 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 67138475040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146322074808).

67138475040 is an abundant number, since it is smaller than the sum of its proper divisors (225505674576).

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

67138475040 is a wasteful number, since it uses less digits than its factorization.

67138475040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 67138475040 in words is "sixty-seven billion, one hundred thirty-eight million, four hundred seventy-five thousand, forty".