67151747520 has 1344 divisors, whose sum is σ = 288536115840. Its totient is φ = 14780620800.

The previous prime is 67151747503. The next prime is 67151747527. The reversal of 67151747520 is 2574715176.

67151747520 is a `hidden beast` number, since 6 + 7 + 1 + 51 + 74 + 7 + 520 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67151747527) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1100848290 + ... + 1100848350.

It is an arithmetic number, because the mean of its divisors is an integer number (214684610).

Almost surely, 2^67151747520 is an apocalyptic number.

67151747520 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 67151747520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144268057920).

67151747520 is an abundant number, since it is smaller than the sum of its proper divisors (221384368320).

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

67151747520 is a wasteful number, since it uses less digits than its factorization.

67151747520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 67151747520 in words is "sixty-seven billion, one hundred fifty-one million, seven hundred forty-seven thousand, five hundred twenty".