642651146303034 has 128 divisors (see below), whose sum is σ = 1441096511662080. Its totient is φ = 189340985721600.

The previous prime is 642651146303027. The next prime is 642651146303063. The reversal of 642651146303034 is 430303641156246.

It is a super-2 number, since 2×642651146303034² (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33861160557 + ... + 33861179535.

It is an arithmetic number, because the mean of its divisors is an integer number (11258566497360).

Almost surely, 2^{642651146303034} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642651146303034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720548255831040).

642651146303034 is an abundant number, since it is smaller than the sum of its proper divisors (798445365359046).

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

642651146303034 is a wasteful number, since it uses less digits than its factorization.

642651146303034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28436.

The product of its (nonzero) digits is 3732480, while the sum is 48.

The spelling of 642651146303034 in words is "six hundred forty-two trillion, six hundred fifty-one billion, one hundred forty-six million, three hundred three thousand, thirty-four".