107640973440 has 2048 divisors, whose sum is σ = 526417920000. Its totient is φ = 20483850240.

The previous prime is 107640973421. The next prime is 107640973469. The reversal of 107640973440 is 44379046701.

107640973440 is a `hidden beast` number, since 10 + 76 + 40 + 97 + 3 + 440 = 666.

It is a super-2 number, since 2×107640973440² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 847566657 + ... + 847566783.

It is an arithmetic number, because the mean of its divisors is an integer number (257040000).

Almost surely, 2^107640973440 is an apocalyptic number.

107640973440 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 107640973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263208960000).

107640973440 is an abundant number, since it is smaller than the sum of its proper divisors (418776946560).

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

107640973440 is a wasteful number, since it uses less digits than its factorization.

107640973440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 107640973440 in words is "one hundred seven billion, six hundred forty million, nine hundred seventy-three thousand, four hundred forty".