67528929481728 has 1408 divisors, whose sum is σ = 224592700147200. Its totient is φ = 17757005414400.

The previous prime is 67528929481709. The next prime is 67528929481747. The reversal of 67528929481728 is 82718492982576.

It is an interprime number because it is at equal distance from previous prime (67528929481709) and next prime (67528929481747).

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 87813952128 + ... + 87813952896.

It is an arithmetic number, because the mean of its divisors is an integer number (159511860900).

Almost surely, 2^{67528929481728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67528929481728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112296350073600).

67528929481728 is an abundant number, since it is smaller than the sum of its proper divisors (157063770665472).

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

67528929481728 is a wasteful number, since it uses less digits than its factorization.

67528929481728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1001 counting only the distinct ones).

The product of its digits is 1950842880, while the sum is 78.

The spelling of 67528929481728 in words is "sixty-seven trillion, five hundred twenty-eight billion, nine hundred twenty-nine million, four hundred eighty-one thousand, seven hundred twenty-eight".