7216567380960 has 1728 divisors, whose sum is σ = 29215201139712. Its totient is φ = 1465620480000.

The previous prime is 7216567380871. The next prime is 7216567380961. The reversal of 7216567380960 is 690837656127.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 7216567380894 and 7216567380903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7216567380961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 47791836885 + ... + 47791837035.

It is an arithmetic number, because the mean of its divisors is an integer number (16906945104).

Almost surely, 2^{7216567380960} is an apocalyptic number.

7216567380960 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 7216567380960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14607600569856).

7216567380960 is an abundant number, since it is smaller than the sum of its proper divisors (21998633758752).

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

7216567380960 is a wasteful number, since it uses less digits than its factorization.

7216567380960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 60.

The spelling of 7216567380960 in words is "seven trillion, two hundred sixteen billion, five hundred sixty-seven million, three hundred eighty thousand, nine hundred sixty".