642753006761 has 16 divisors (see below), whose sum is σ = 679801516800. Its totient is φ = 606028331088.

The previous prime is 642753006743. The next prime is 642753006767. The reversal of 642753006761 is 167600357246.

It is not a de Polignac number, because 642753006761 - 2¹⁴ = 642752990377 is a prime.

It is a super-3 number, since 3×642753006761³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (642753006767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12996266 + ... + 13045628.

It is an arithmetic number, because the mean of its divisors is an integer number (42487594800).

Almost surely, 2^642753006761 is an apocalyptic number.

It is an amenable number.

642753006761 is a deficient number, since it is larger than the sum of its proper divisors (37048510039).

642753006761 is a wasteful number, since it uses less digits than its factorization.

642753006761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52628.

The product of its (nonzero) digits is 1270080, while the sum is 47.

The spelling of 642753006761 in words is "six hundred forty-two billion, seven hundred fifty-three million, six thousand, seven hundred sixty-one".