67401128520 has 288 divisors, whose sum is σ = 241197989760. Its totient is φ = 16311187200.

The previous prime is 67401128503. The next prime is 67401128521. The reversal of 67401128520 is 2582110476.

67401128520 is a `hidden beast` number, since 6 + 7 + 4 + 0 + 1 + 128 + 520 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (67401128521) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 36023185 + ... + 36025055.

It is an arithmetic number, because the mean of its divisors is an integer number (837493020).

Almost surely, 2^67401128520 is an apocalyptic number.

67401128520 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 67401128520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120598994880).

67401128520 is an abundant number, since it is smaller than the sum of its proper divisors (173796861240).

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

67401128520 is a wasteful number, since it uses less digits than its factorization.

67401128520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 67401128520 its reverse (2582110476), we get a palindrome (69983238996).

The spelling of 67401128520 in words is "sixty-seven billion, four hundred one million, one hundred twenty-eight thousand, five hundred twenty".