18693074400 has 1152 divisors, whose sum is σ = 84666580992. Its totient is φ = 3456000000.

The previous prime is 18693074347. The next prime is 18693074443. The reversal of 18693074400 is 447039681.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 74474275 + ... + 74474525.

It is an arithmetic number, because the mean of its divisors is an integer number (73495296).

Almost surely, 2^18693074400 is an apocalyptic number.

18693074400 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 18693074400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42333290496).

18693074400 is an abundant number, since it is smaller than the sum of its proper divisors (65973506592).

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

18693074400 is a wasteful number, since it uses less digits than its factorization.

18693074400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 18693074400 in words is "eighteen billion, six hundred ninety-three million, seventy-four thousand, four hundred".