10842352640 has 176 divisors, whose sum is σ = 29843491392. Its totient is φ = 3702521856.

The previous prime is 10842352639. The next prime is 10842352657. The reversal of 10842352640 is 4625324801.

It is a super-2 number, since 2×10842352640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 10842352640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12651092 + ... + 12651948.

It is an arithmetic number, because the mean of its divisors is an integer number (169565292).

Almost surely, 2^10842352640 is an apocalyptic number.

10842352640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10842352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14921745696).

10842352640 is an abundant number, since it is smaller than the sum of its proper divisors (19001138752).

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

10842352640 is an equidigital number, since it uses as much as digits as its factorization.

10842352640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 10842352640 in words is "ten billion, eight hundred forty-two million, three hundred fifty-two thousand, six hundred forty".