67752002142 has 96 divisors (see below), whose sum is σ = 161783571456. Its totient is φ = 20490362640.

The previous prime is 67752002119. The next prime is 67752002161. The reversal of 67752002142 is 24120025776.

It is a happy number.

67752002142 is a `hidden beast` number, since 6 + 77 + 520 + 0 + 21 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 67752002097 and 67752002106.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 13485843 + ... + 13490865.

It is an arithmetic number, because the mean of its divisors is an integer number (1685245536).

Almost surely, 2^67752002142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67752002142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80891785728).

67752002142 is an abundant number, since it is smaller than the sum of its proper divisors (94031569314).

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

67752002142 is a wasteful number, since it uses less digits than its factorization.

67752002142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5627 (or 5602 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 67752002142 in words is "sixty-seven billion, seven hundred fifty-two million, two thousand, one hundred forty-two".