107649108000 has 1536 divisors, whose sum is σ = 481858191360. Its totient is φ = 22809600000.

The previous prime is 107649107983. The next prime is 107649108011. The reversal of 107649108000 is 801946701.

107649108000 is a `hidden beast` number, since 1 + 0 + 7 + 649 + 1 + 0 + 8 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 712907925 + ... + 712908075.

It is an arithmetic number, because the mean of its divisors is an integer number (313709760).

Almost surely, 2^107649108000 is an apocalyptic number.

107649108000 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 107649108000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240929095680).

107649108000 is an abundant number, since it is smaller than the sum of its proper divisors (374209083360).

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

107649108000 is a wasteful number, since it uses less digits than its factorization.

107649108000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 107649108000 in words is "one hundred seven billion, six hundred forty-nine million, one hundred eight thousand".