11433726720 has 720 divisors, whose sum is σ = 46744236000. Its totient is φ = 2643591168.

The previous prime is 11433726677. The next prime is 11433726727. The reversal of 11433726720 is 2762733411.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11433726727) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 22913031 + ... + 22913529.

It is an arithmetic number, because the mean of its divisors is an integer number (64922550).

Almost surely, 2^11433726720 is an apocalyptic number.

11433726720 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 11433726720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23372118000).

11433726720 is an abundant number, since it is smaller than the sum of its proper divisors (35310509280).

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

11433726720 is a wasteful number, since it uses less digits than its factorization.

11433726720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 11433726720 in words is "eleven billion, four hundred thirty-three million, seven hundred twenty-six thousand, seven hundred twenty".