11372337644640 has 2304 divisors, whose sum is σ = 49101879214080. Its totient is φ = 2188845711360.

The previous prime is 11372337644593. The next prime is 11372337644641. The reversal of 11372337644640 is 4644673327311.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11372337644641) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10126747119 + ... + 10126748241.

It is an arithmetic number, because the mean of its divisors is an integer number (21311579520).

Almost surely, 2^{11372337644640} is an apocalyptic number.

11372337644640 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 11372337644640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24550939607040).

11372337644640 is an abundant number, since it is smaller than the sum of its proper divisors (37729541569440).

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

11372337644640 is a wasteful number, since it uses less digits than its factorization.

11372337644640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 51.

The spelling of 11372337644640 in words is "eleven trillion, three hundred seventy-two billion, three hundred thirty-seven million, six hundred forty-four thousand, six hundred forty".