107640063244800 has 720 divisors, whose sum is σ = 390915708543360. Its totient is φ = 28279738368000.

The previous prime is 107640063244783. The next prime is 107640063244877. The reversal of 107640063244800 is 8442360046701.

107640063244800 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 4 + 0 + 0 + 632 + 4 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

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, 14239983421 + ... + 14239990979.

It is an arithmetic number, because the mean of its divisors is an integer number (542938484088).

Almost surely, 2^{107640063244800} is an apocalyptic number.

107640063244800 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 107640063244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195457854271680).

107640063244800 is an abundant number, since it is smaller than the sum of its proper divisors (283275645298560).

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

107640063244800 is a wasteful number, since it uses less digits than its factorization.

107640063244800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9405 (or 9381 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 107640063244800 in words is "one hundred seven trillion, six hundred forty billion, sixty-three million, two hundred forty-four thousand, eight hundred".