10670755680 has 432 divisors, whose sum is σ = 41413816080. Its totient is φ = 2486827008.

The previous prime is 10670755657. The next prime is 10670755691. The reversal of 10670755680 is 8655707601.

10670755680 is a `hidden beast` number, since 10 + 6 + 7 + 0 + 7 + 556 + 80 = 666.

It is a super-2 number, since 2×10670755680² (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 71 ways as a sum of consecutive naturals, for example, 6757131 + ... + 6758709.

It is an arithmetic number, because the mean of its divisors is an integer number (95865315).

Almost surely, 2^10670755680 is an apocalyptic number.

10670755680 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 10670755680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20706908040).

10670755680 is an abundant number, since it is smaller than the sum of its proper divisors (30743060400).

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

10670755680 is a wasteful number, since it uses less digits than its factorization.

10670755680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 10670755680 in words is "ten billion, six hundred seventy million, seven hundred fifty-five thousand, six hundred eighty".