7218066240000 has 2400 divisors, whose sum is σ = 32844665842560. Its totient is φ = 1494282240000.

The previous prime is 7218066239963. The next prime is 7218066240053. The reversal of 7218066240000 is 426608127.

7218066240000 is a `hidden beast` number, since 7 + 21 + 8 + 0 + 6 + 624 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 26832959866 + ... + 26832960134.

Almost surely, 2^{7218066240000} is an apocalyptic number.

7218066240000 is a gapful number since it is divisible by the number (70) 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 7218066240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16422332921280).

7218066240000 is an abundant number, since it is smaller than the sum of its proper divisors (25626599602560).

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

7218066240000 is an equidigital number, since it uses as much as digits as its factorization.

7218066240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 297 counting only the distinct ones).

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

The spelling of 7218066240000 in words is "seven trillion, two hundred eighteen billion, sixty-six million, two hundred forty thousand".