10642437416567 has 64 divisors (see below), whose sum is σ = 12293385043968. Its totient is φ = 9126905040000.

The previous prime is 10642437416563. The next prime is 10642437416609. The reversal of 10642437416567 is 76561473424601.

It is not a de Polignac number, because 10642437416567 - 2² = 10642437416563 is a prime.

It is a super-3 number, since 3×10642437416567³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10642437416563) 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, 613352942 + ... + 613370292.

It is an arithmetic number, because the mean of its divisors is an integer number (192084141312).

Almost surely, 2^{10642437416567} is an apocalyptic number.

10642437416567 is a deficient number, since it is larger than the sum of its proper divisors (1650947627401).

10642437416567 is a wasteful number, since it uses less digits than its factorization.

10642437416567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17820.

The product of its (nonzero) digits is 20321280, while the sum is 56.

The spelling of 10642437416567 in words is "ten trillion, six hundred forty-two billion, four hundred thirty-seven million, four hundred sixteen thousand, five hundred sixty-seven".