118640397600 has 576 divisors, whose sum is σ = 446051450880. Its totient is φ = 30401049600.

The previous prime is 118640397581. The next prime is 118640397647. The reversal of 118640397600 is 6793046811.

It is a happy number.

118640397600 is a `hidden beast` number, since 1 + 1 + 8 + 6 + 4 + 0 + 39 + 7 + 600 = 666.

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 95 ways as a sum of consecutive naturals, for example, 109144257 + ... + 109145343.

It is an arithmetic number, because the mean of its divisors is an integer number (774394880).

Almost surely, 2^118640397600 is an apocalyptic number.

118640397600 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 118640397600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223025725440).

118640397600 is an abundant number, since it is smaller than the sum of its proper divisors (327411053280).

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

118640397600 is a wasteful number, since it uses less digits than its factorization.

118640397600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

It can be divided in two parts, 1186403 and 97600, that added together give a triangular number (1284003 = T₁₆₀₂).

The spelling of 118640397600 in words is "one hundred eighteen billion, six hundred forty million, three hundred ninety-seven thousand, six hundred".