107644380480 has 336 divisors, whose sum is σ = 455695653504. Its totient is φ = 22711726080.

The previous prime is 107644380463. The next prime is 107644380527. The reversal of 107644380480 is 84083446701.

107644380480 is a `hidden beast` number, since 107 + 64 + 4 + 3 + 8 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56715 + ... + 467445.

It is an arithmetic number, because the mean of its divisors is an integer number (1356237064).

Almost surely, 2^107644380480 is an apocalyptic number.

107644380480 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 107644380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227847826752).

107644380480 is an abundant number, since it is smaller than the sum of its proper divisors (348051273024).

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

107644380480 is a wasteful number, since it uses less digits than its factorization.

107644380480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410774 (or 410761 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 107644380480 in words is "one hundred seven billion, six hundred forty-four million, three hundred eighty thousand, four hundred eighty".