10717367040 has 576 divisors, whose sum is σ = 40382899200. Its totient is φ = 2686058496.

The previous prime is 10717367029. The next prime is 10717367041. The reversal of 10717367040 is 4076371701.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×10717367040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10717366986 and 10717367004.

It is not an unprimeable number, because it can be changed into a prime (10717367041) 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, 77103291 + ... + 77103429.

It is an arithmetic number, because the mean of its divisors is an integer number (70109200).

Almost surely, 2^10717367040 is an apocalyptic number.

10717367040 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 10717367040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20191449600).

10717367040 is an abundant number, since it is smaller than the sum of its proper divisors (29665532160).

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

10717367040 is a wasteful number, since it uses less digits than its factorization.

10717367040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The spelling of 10717367040 in words is "ten billion, seven hundred seventeen million, three hundred sixty-seven thousand, forty".