11672082240 has 336 divisors, whose sum is σ = 46427818752. Its totient is φ = 2462552064.

The previous prime is 11672082229. The next prime is 11672082263. The reversal of 11672082240 is 4228027611.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 601977 + ... + 621063.

It is an arithmetic number, because the mean of its divisors is an integer number (138178032).

Almost surely, 2^11672082240 is an apocalyptic number.

11672082240 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 11672082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23213909376).

11672082240 is an abundant number, since it is smaller than the sum of its proper divisors (34755736512).

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

11672082240 is a wasteful number, since it uses less digits than its factorization.

11672082240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19134 (or 19117 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 11672082240 in words is "eleven billion, six hundred seventy-two million, eighty-two thousand, two hundred forty".