642654512401 has 16 divisors (see below), whose sum is σ = 704847495168. Its totient is φ = 581090702800.

The previous prime is 642654512393. The next prime is 642654512503. The reversal of 642654512401 is 104215456246.

It is a cyclic number.

It is not a de Polignac number, because 642654512401 - 2³ = 642654512393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (642654515401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18814200 + ... + 18848326.

It is an arithmetic number, because the mean of its divisors is an integer number (44052968448).

Almost surely, 2^642654512401 is an apocalyptic number.

It is an amenable number.

642654512401 is a deficient number, since it is larger than the sum of its proper divisors (62192982767).

642654512401 is a wasteful number, since it uses less digits than its factorization.

642654512401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43292.

The product of its (nonzero) digits is 230400, while the sum is 40.

Adding to 642654512401 its reverse (104215456246), we get a palindrome (746869968647).

The spelling of 642654512401 in words is "six hundred forty-two billion, six hundred fifty-four million, five hundred twelve thousand, four hundred one".