7872199695360 has 4928 divisors, whose sum is σ = 39692751436800. Its totient is φ = 1474837217280.

The previous prime is 7872199695331. The next prime is 7872199695397. The reversal of 7872199695360 is 635969912787.

7872199695360 is a `hidden beast` number, since 7 + 8 + 7 + 21 + 9 + 9 + 69 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4928).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 183074411499 + ... + 183074411541.

It is an arithmetic number, because the mean of its divisors is an integer number (8054535600).

Almost surely, 2^{7872199695360} is an apocalyptic number.

7872199695360 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 7872199695360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19846375718400).

7872199695360 is an abundant number, since it is smaller than the sum of its proper divisors (31820551741440).

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

7872199695360 is a wasteful number, since it uses less digits than its factorization.

7872199695360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 308629440, while the sum is 72.

The spelling of 7872199695360 in words is "seven trillion, eight hundred seventy-two billion, one hundred ninety-nine million, six hundred ninety-five thousand, three hundred sixty".