18778536000 has 1344 divisors, whose sum is σ = 84560785920. Its totient is φ = 3881779200.

The previous prime is 18778535957. The next prime is 18778536013. The reversal of 18778536000 is 63587781.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 354311974 + ... + 354312026.

Almost surely, 2^18778536000 is an apocalyptic number.

18778536000 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 18778536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42280392960).

18778536000 is an abundant number, since it is smaller than the sum of its proper divisors (65782249920).

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

18778536000 is a wasteful number, since it uses less digits than its factorization.

18778536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 18778536000 in words is "eighteen billion, seven hundred seventy-eight million, five hundred thirty-six thousand".