11937432640 has 224 divisors, whose sum is σ = 34674925824. Its totient is φ = 3821076480.

The previous prime is 11937432631. The next prime is 11937432641. The reversal of 11937432640 is 4623473911.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×11937432640³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 11937432593 and 11937432602.

It is not an unprimeable number, because it can be changed into a prime (11937432641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4987284 + ... + 4989676.

It is an arithmetic number, because the mean of its divisors is an integer number (154798776).

Almost surely, 2^11937432640 is an apocalyptic number.

11937432640 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 11937432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17337462912).

11937432640 is an abundant number, since it is smaller than the sum of its proper divisors (22737493184).

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

11937432640 is a wasteful number, since it uses less digits than its factorization.

11937432640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565 (or 2555 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The spelling of 11937432640 in words is "eleven billion, nine hundred thirty-seven million, four hundred thirty-two thousand, six hundred forty".