7198381970520 has 512 divisors, whose sum is σ = 24836877434880. Its totient is φ = 1653345976320.

The previous prime is 7198381970459. The next prime is 7198381970551. The reversal of 7198381970520 is 250791838917.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1605704199 + ... + 1605708681.

It is an arithmetic number, because the mean of its divisors is an integer number (48509526240).

Almost surely, 2^{7198381970520} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7198381970520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12418438717440).

7198381970520 is an abundant number, since it is smaller than the sum of its proper divisors (17638495464360).

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

7198381970520 is a wasteful number, since it uses less digits than its factorization.

7198381970520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5035 (or 5031 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 60.

The spelling of 7198381970520 in words is "seven trillion, one hundred ninety-eight billion, three hundred eighty-one million, nine hundred seventy thousand, five hundred twenty".