18772131840 has 640 divisors, whose sum is σ = 77309337600. Its totient is φ = 3774873600.

The previous prime is 18772131811. The next prime is 18772131853. The reversal of 18772131840 is 4813127781.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 18772131792 and 18772131801.

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, 605552625 + ... + 605552655.

It is an arithmetic number, because the mean of its divisors is an integer number (120795840).

Almost surely, 2^18772131840 is an apocalyptic number.

18772131840 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 18772131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38654668800).

18772131840 is an abundant number, since it is smaller than the sum of its proper divisors (58537205760).

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

18772131840 is an frugal number, since it uses more digits than its factorization.

18772131840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

The spelling of 18772131840 in words is "eighteen billion, seven hundred seventy-two million, one hundred thirty-one thousand, eight hundred forty".