642519788856288 has 96 divisors (see below), whose sum is σ = 1927633936806144. Its totient is φ = 183569980603392.

The previous prime is 642519788856277. The next prime is 642519788856299. The reversal of 642519788856288 is 882658887915246.

It is an interprime number because it is at equal distance from previous prime (642519788856277) and next prime (642519788856299).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 1099045 + ... + 35864292.

It is an arithmetic number, because the mean of its divisors is an integer number (20079520175064).

Almost surely, 2^{642519788856288} is an apocalyptic number.

It is an amenable number.

642519788856288 is an abundant number, since it is smaller than the sum of its proper divisors (1285114147949856).

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

642519788856288 is a wasteful number, since it uses less digits than its factorization.

642519788856288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36989224 (or 36989216 counting only the distinct ones).

The product of its digits is 29727129600, while the sum is 87.

The spelling of 642519788856288 in words is "six hundred forty-two trillion, five hundred nineteen billion, seven hundred eighty-eight million, eight hundred fifty-six thousand, two hundred eighty-eight".