7218790528320 has 1680 divisors, whose sum is σ = 31749022559232. Its totient is φ = 1547018403840.

The previous prime is 7218790528283. The next prime is 7218790528361. The reversal of 7218790528320 is 238250978127.

7218790528320 is a `hidden beast` number, since 7 + 2 + 1 + 8 + 7 + 90 + 528 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×7218790528320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 7924028665 + ... + 7924029575.

Almost surely, 2^{7218790528320} is an apocalyptic number.

7218790528320 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 7218790528320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15874511279616).

7218790528320 is an abundant number, since it is smaller than the sum of its proper divisors (24530232030912).

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

7218790528320 is a wasteful number, since it uses less digits than its factorization.

7218790528320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 7218790528320 in words is "seven trillion, two hundred eighteen billion, seven hundred ninety million, five hundred twenty-eight thousand, three hundred twenty".