642407447601 has 12 divisors (see below), whose sum is σ = 938347958340. Its totient is φ = 423459590400.

The previous prime is 642407447587. The next prime is 642407447699. The reversal of 642407447601 is 106744704246.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 44468687376 + 597938760225 = 210876^2 + 773265^2 .

It is not a de Polignac number, because 642407447601 - 2²¹ = 642405350449 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (642407427601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 401002600 + ... + 401004201.

It is an arithmetic number, because the mean of its divisors is an integer number (78195663195).

Almost surely, 2^642407447601 is an apocalyptic number.

It is an amenable number.

642407447601 is a deficient number, since it is larger than the sum of its proper divisors (295940510739).

642407447601 is a wasteful number, since it uses less digits than its factorization.

642407447601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802006896 (or 802006893 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 642407447601 in words is "six hundred forty-two billion, four hundred seven million, four hundred forty-seven thousand, six hundred one".