642128640351 has 64 divisors (see below), whose sum is σ = 1028256768000. Its totient is φ = 351849674880.

The previous prime is 642128640271. The next prime is 642128640383. The reversal of 642128640351 is 153046821246.

It is not a de Polignac number, because 642128640351 - 2¹⁴ = 642128623967 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642128640151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6280105 + ... + 6381533.

It is an arithmetic number, because the mean of its divisors is an integer number (16066512000).

Almost surely, 2^642128640351 is an apocalyptic number.

642128640351 is a deficient number, since it is larger than the sum of its proper divisors (386128127649).

642128640351 is a wasteful number, since it uses less digits than its factorization.

642128640351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101924.

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 642128640351 in words is "six hundred forty-two billion, one hundred twenty-eight million, six hundred forty thousand, three hundred fifty-one".