11764676306000 has 160 divisors (see below), whose sum is σ = 28962763764480. Its totient is φ = 4620811584000.

The previous prime is 11764676305969. The next prime is 11764676306041. The reversal of 11764676306000 is 60367646711.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71531861 + ... + 71696139.

It is an arithmetic number, because the mean of its divisors is an integer number (181017273528).

Almost surely, 2^{11764676306000} is an apocalyptic number.

11764676306000 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 11764676306000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14481381882240).

11764676306000 is an abundant number, since it is smaller than the sum of its proper divisors (17198087458480).

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

11764676306000 is a wasteful number, since it uses less digits than its factorization.

11764676306000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164950 (or 164934 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 47.

The spelling of 11764676306000 in words is "eleven trillion, seven hundred sixty-four billion, six hundred seventy-six million, three hundred six thousand".