18671852640 has 768 divisors, whose sum is σ = 73741860864. Its totient is φ = 3879321600.

The previous prime is 18671852629. The next prime is 18671852651. The reversal of 18671852640 is 4625817681.

It is an interprime number because it is at equal distance from previous prime (18671852629) and next prime (18671852651).

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 18671852640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 224962039 + ... + 224962121.

It is an arithmetic number, because the mean of its divisors is an integer number (96018048).

Almost surely, 2^18671852640 is an apocalyptic number.

18671852640 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 18671852640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36870930432).

18671852640 is an abundant number, since it is smaller than the sum of its proper divisors (55070008224).

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

18671852640 is a wasteful number, since it uses less digits than its factorization.

18671852640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 18671852640 in words is "eighteen billion, six hundred seventy-one million, eight hundred fifty-two thousand, six hundred forty".