11372606624640 has 256 divisors, whose sum is σ = 36355627929600. Its totient is φ = 3023883878400.

The previous prime is 11372606624633. The next prime is 11372606624669. The reversal of 11372606624640 is 4642660627311.

It is a super-2 number, since 2×11372606624640² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11372606624640.

It is a congruent number.

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, 1430332665 + ... + 1430340615.

It is an arithmetic number, because the mean of its divisors is an integer number (142014171600).

Almost surely, 2^{11372606624640} is an apocalyptic number.

11372606624640 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 11372606624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18177813964800).

11372606624640 is an abundant number, since it is smaller than the sum of its proper divisors (24983021304960).

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

11372606624640 is a wasteful number, since it uses less digits than its factorization.

11372606624640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10045 (or 10033 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 11372606624640 in words is "eleven trillion, three hundred seventy-two billion, six hundred six million, six hundred twenty-four thousand, six hundred forty".