18007646400 has 252 divisors, whose sum is σ = 64225194384. Its totient is φ = 4785408000.

The previous prime is 18007646399. The next prime is 18007646471. The reversal of 18007646400 is 464670081.

18007646400 is a `hidden beast` number, since 1 + 8 + 0 + 0 + 7 + 6 + 4 + 640 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4476390 + ... + 4480410.

Almost surely, 2^18007646400 is an apocalyptic number.

18007646400 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 18007646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32112597192).

18007646400 is an abundant number, since it is smaller than the sum of its proper divisors (46217547984).

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

18007646400 is a wasteful number, since it uses less digits than its factorization.

18007646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4360 (or 4342 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 18007646400 in words is "eighteen billion, seven million, six hundred forty-six thousand, four hundred".