642135076929 has 16 divisors (see below), whose sum is σ = 951323760640. Its totient is φ = 428084410320.

The previous prime is 642135076873. The next prime is 642135076931. The reversal of 642135076929 is 929670531246.

642135076929 is a `hidden beast` number, since 6 + 42 + 1 + 3 + 507 + 6 + 92 + 9 = 666.

It is not a de Polignac number, because 642135076929 - 2²⁰ = 642134028353 is a prime.

It is a super-2 number, since 2×642135076929² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (642135076229) 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, 3389184 + ... + 3573630.

It is an arithmetic number, because the mean of its divisors is an integer number (59457735040).

Almost surely, 2^642135076929 is an apocalyptic number.

It is an amenable number.

642135076929 is a deficient number, since it is larger than the sum of its proper divisors (309188683711).

642135076929 is a wasteful number, since it uses less digits than its factorization.

642135076929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313397 (or 313391 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 642135076929 in words is "six hundred forty-two billion, one hundred thirty-five million, seventy-six thousand, nine hundred twenty-nine".