11432720640 has 288 divisors, whose sum is σ = 41122271232. Its totient is φ = 2681856000.

The previous prime is 11432720639. The next prime is 11432720669. The reversal of 11432720640 is 4602723411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11432720598 and 11432720607.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1305075 + ... + 1313805.

It is an arithmetic number, because the mean of its divisors is an integer number (142785664).

Almost surely, 2^11432720640 is an apocalyptic number.

11432720640 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 11432720640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20561135616).

11432720640 is an abundant number, since it is smaller than the sum of its proper divisors (29689550592).

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

11432720640 is a wasteful number, since it uses less digits than its factorization.

11432720640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8797 (or 8783 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 11432720640 in words is "eleven billion, four hundred thirty-two million, seven hundred twenty thousand, six hundred forty".