118640107952640 has 640 divisors, whose sum is σ = 430237954080000. Its totient is φ = 30977748172800.

The previous prime is 118640107952629. The next prime is 118640107952719. The reversal of 118640107952640 is 46259701046811.

118640107952640 is a `hidden beast` number, since 1 + 1 + 8 + 6 + 4 + 0 + 1 + 0 + 79 + 526 + 40 = 666.

118640107952640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1827984190 + ... + 1828049090.

It is an arithmetic number, because the mean of its divisors is an integer number (672246803250).

Almost surely, 2^{118640107952640} is an apocalyptic number.

118640107952640 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 118640107952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215118977040000).

118640107952640 is an abundant number, since it is smaller than the sum of its proper divisors (311597846127360).

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

118640107952640 is an equidigital number, since it uses as much as digits as its factorization.

118640107952640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65485 (or 65463 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 118640107952640 in words is "one hundred eighteen trillion, six hundred forty billion, one hundred seven million, nine hundred fifty-two thousand, six hundred forty".