6118728376320 has 1680 divisors, whose sum is σ = 25656602130432. Its totient is φ = 1347382149120.

The previous prime is 6118728376261. The next prime is 6118728376333. The reversal of 6118728376320 is 236738278116.

It is a happy number.

6118728376320 is a `hidden beast` number, since 61 + 187 + 2 + 8 + 376 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 27438243729 + ... + 27438243951.

Almost surely, 2^{6118728376320} is an apocalyptic number.

6118728376320 is a gapful number since it is divisible by the number (60) 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 6118728376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12828301065216).

6118728376320 is an abundant number, since it is smaller than the sum of its proper divisors (19537873754112).

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

6118728376320 is an equidigital number, since it uses as much as digits as its factorization.

6118728376320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 6118728376320 in words is "six trillion, one hundred eighteen billion, seven hundred twenty-eight million, three hundred seventy-six thousand, three hundred twenty".