18574340400 has 720 divisors, whose sum is σ = 82580928768. Its totient is φ = 3753216000.

The previous prime is 18574340381. The next prime is 18574340419. The reversal of 18574340400 is 404347581.

18574340400 is a `hidden beast` number, since 1 + 8 + 574 + 3 + 40 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (18574340381) and next prime (18574340419).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×18574340400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10255495 + ... + 10257305.

Almost surely, 2^18574340400 is an apocalyptic number.

18574340400 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 18574340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41290464384).

18574340400 is an abundant number, since it is smaller than the sum of its proper divisors (64006588368).

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

18574340400 is a wasteful number, since it uses less digits than its factorization.

18574340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 18574340400 its reverse (404347581), we get a palindrome (18978687981).

The spelling of 18574340400 in words is "eighteen billion, five hundred seventy-four million, three hundred forty thousand, four hundred".