7005363081216 has 416 divisors, whose sum is σ = 21326611824000. Its totient is φ = 2031259484160.

The previous prime is 7005363081169. The next prime is 7005363081251. The reversal of 7005363081216 is 6121803635007.

It is a super-2 number, since 2×7005363081216² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162708460 + ... + 162751508.

Almost surely, 2^{7005363081216} is an apocalyptic number.

7005363081216 is a gapful number since it is divisible by the number (76) 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 7005363081216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10663305912000).

7005363081216 is an abundant number, since it is smaller than the sum of its proper divisors (14321248742784).

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

7005363081216 is a wasteful number, since it uses less digits than its factorization.

7005363081216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43153 (or 43131 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 7005363081216 in words is "seven trillion, five billion, three hundred sixty-three million, eighty-one thousand, two hundred sixteen".