10667842560 has 440 divisors, whose sum is σ = 39590290080. Its totient is φ = 2743566336.

The previous prime is 10667842547. The next prime is 10667842571. The reversal of 10667842560 is 6524876601.

10667842560 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 7 + 84 + 2 + 560 = 666.

It is a super-2 number, since 2×10667842560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12026437 + ... + 12027323.

It is an arithmetic number, because the mean of its divisors is an integer number (89977932).

Almost surely, 2^10667842560 is an apocalyptic number.

10667842560 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 10667842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19795145040).

10667842560 is an abundant number, since it is smaller than the sum of its proper divisors (28922447520).

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

10667842560 is an equidigital number, since it uses as much as digits as its factorization.

10667842560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 10667842560 in words is "ten billion, six hundred sixty-seven million, eight hundred forty-two thousand, five hundred sixty".