1107643680 has 576 divisors, whose sum is σ = 4617164160. Its totient is φ = 246343680.

The previous prime is 1107643651. The next prime is 1107643681. The reversal of 1107643680 is 863467011.

1107643680 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 643 + 6 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1107643681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6795279 + ... + 6795441.

It is an arithmetic number, because the mean of its divisors is an integer number (8015910).

Almost surely, 2^1107643680 is an apocalyptic number.

1107643680 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 1107643680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308582080).

1107643680 is an abundant number, since it is smaller than the sum of its proper divisors (3509520480).

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

1107643680 is a wasteful number, since it uses less digits than its factorization.

1107643680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1107643680 is about 33281.2812253375. The cubic root of 1107643680 is about 1034.6656344831.

It can be divided in two parts, 11076 and 43680, that added together give a square (54756 = 234²).

The spelling of 1107643680 in words is "one billion, one hundred seven million, six hundred forty-three thousand, six hundred eighty".