11874634640 has 320 divisors, whose sum is σ = 33439288320. Its totient is φ = 3870720000.

The previous prime is 11874634633. The next prime is 11874634679. The reversal of 11874634640 is 4643647811.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 11874634591 and 11874634600.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43817705 + ... + 43817975.

It is an arithmetic number, because the mean of its divisors is an integer number (104497776).

Almost surely, 2^11874634640 is an apocalyptic number.

11874634640 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 11874634640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16719644160).

11874634640 is an abundant number, since it is smaller than the sum of its proper divisors (21564653680).

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

11874634640 is a wasteful number, since it uses less digits than its factorization.

11874634640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The spelling of 11874634640 in words is "eleven billion, eight hundred seventy-four million, six hundred thirty-four thousand, six hundred forty".