67314396240 has 960 divisors, whose sum is σ = 305740431360. Its totient is φ = 12864614400.

The previous prime is 67314396229. The next prime is 67314396257. The reversal of 67314396240 is 4269341376.

67314396240 is a `hidden beast` number, since 6 + 7 + 3 + 14 + 3 + 9 + 624 + 0 = 666.

It is a super-2 number, since 2×67314396240² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28631065 + ... + 28633415.

It is an arithmetic number, because the mean of its divisors is an integer number (318479616).

Almost surely, 2^67314396240 is an apocalyptic number.

67314396240 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 67314396240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152870215680).

67314396240 is an abundant number, since it is smaller than the sum of its proper divisors (238426035120).

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

67314396240 is a wasteful number, since it uses less digits than its factorization.

67314396240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432 (or 2423 counting only the distinct ones).

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

The spelling of 67314396240 in words is "sixty-seven billion, three hundred fourteen million, three hundred ninety-six thousand, two hundred forty".