7815198720 has 192 divisors, whose sum is σ = 28575106560. Its totient is φ = 1786281984.

The previous prime is 7815198709. The next prime is 7815198749. The reversal of 7815198720 is 278915187.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×7815198720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7815198720.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196869 + ... + 233211.

It is an arithmetic number, because the mean of its divisors is an integer number (148828680).

Almost surely, 2^7815198720 is an apocalyptic number.

7815198720 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 7815198720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14287553280).

7815198720 is an abundant number, since it is smaller than the sum of its proper divisors (20759907840).

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

7815198720 is a wasteful number, since it uses less digits than its factorization.

7815198720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36380 (or 36360 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 48.

The square root of 7815198720 is about 88403.6125958662. The cubic root of 7815198720 is about 1984.4797660421.

The spelling of 7815198720 in words is "seven billion, eight hundred fifteen million, one hundred ninety-eight thousand, seven hundred twenty".