218377640000 has 840 divisors, whose sum is σ = 661870883520. Its totient is φ = 70709760000.

The previous prime is 218377639979. The next prime is 218377640003. The reversal of 218377640000 is 46773812.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (218377640003) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7044439985 + ... + 7044440015.

It is an arithmetic number, because the mean of its divisors is an integer number (787941528).

Almost surely, 2^218377640000 is an apocalyptic number.

218377640000 is a gapful number since it is divisible by the number (20) 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 218377640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330935441760).

218377640000 is an abundant number, since it is smaller than the sum of its proper divisors (443493243520).

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

218377640000 is a wasteful number, since it uses less digits than its factorization.

218377640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The spelling of 218377640000 in words is "two hundred eighteen billion, three hundred seventy-seven million, six hundred forty thousand".