10676216040 has 384 divisors, whose sum is σ = 38295244800. Its totient is φ = 2373450240.

The previous prime is 10676216027. The next prime is 10676216081. The reversal of 10676216040 is 4061267601.

It is a super-2 number, since 2×10676216040² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10676215992 and 10676216010.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44670241 + ... + 44670479.

It is an arithmetic number, because the mean of its divisors is an integer number (99727200).

Almost surely, 2^10676216040 is an apocalyptic number.

10676216040 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 10676216040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19147622400).

10676216040 is an abundant number, since it is smaller than the sum of its proper divisors (27619028760).

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

10676216040 is a wasteful number, since it uses less digits than its factorization.

10676216040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 10676216040 in words is "ten billion, six hundred seventy-six million, two hundred sixteen thousand, forty".