10642349088 has 72 divisors (see below), whose sum is σ = 34587641088. Its totient is φ = 3040670592.

The previous prime is 10642349087. The next prime is 10642349089. The reversal of 10642349088 is 88094324601.

It is a happy number.

10642349088 is a `hidden beast` number, since 1 + 0 + 64 + 23 + 490 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (10642349087) and next prime (10642349089).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10642349088² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10642349087) 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, 2637456 + ... + 2641487.

It is an arithmetic number, because the mean of its divisors is an integer number (480383904).

Almost surely, 2^10642349088 is an apocalyptic number.

10642349088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10642349088 is an abundant number, since it is smaller than the sum of its proper divisors (23945292000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10642349088 is a wasteful number, since it uses less digits than its factorization.

10642349088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5278966 (or 5278955 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 10642349088 in words is "ten billion, six hundred forty-two million, three hundred forty-nine thousand, eighty-eight".