10667190240 has 768 divisors, whose sum is σ = 45577728000. Its totient is φ = 2324754432.

The previous prime is 10667190239. The next prime is 10667190251. The reversal of 10667190240 is 4209176601.

It is a super-2 number, since 2×10667190240² (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 = 10667190195 and 10667190204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34080324 + ... + 34080636.

It is an arithmetic number, because the mean of its divisors is an integer number (59346000).

Almost surely, 2^10667190240 is an apocalyptic number.

10667190240 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 10667190240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22788864000).

10667190240 is an abundant number, since it is smaller than the sum of its proper divisors (34910537760).

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

10667190240 is a wasteful number, since it uses less digits than its factorization.

10667190240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 10667190240 in words is "ten billion, six hundred sixty-seven million, one hundred ninety thousand, two hundred forty".