67124920320 has 476 divisors, whose sum is σ = 242396940276. Its totient is φ = 17836277760.

The previous prime is 67124920309. The next prime is 67124920349. The reversal of 67124920320 is 2302942176.

67124920320 is a `hidden beast` number, since 6 + 71 + 249 + 20 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34828517376 + 32296402944 = 186624^2 + 179712^2 .

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

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 238878580 + ... + 238878860.

Almost surely, 2^67124920320 is an apocalyptic number.

67124920320 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 67124920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121198470138).

67124920320 is an abundant number, since it is smaller than the sum of its proper divisors (175272019956).

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

67124920320 is an frugal number, since it uses more digits than its factorization.

67124920320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 67124920320 in words is "sixty-seven billion, one hundred twenty-four million, nine hundred twenty thousand, three hundred twenty".