7028195973120 has 2880 divisors, whose sum is σ = 31112725644000. Its totient is φ = 1510732726272.

The previous prime is 7028195973119. The next prime is 7028195973263. The reversal of 7028195973120 is 213795918207.

It is a happy number.

7028195973120 is a `hidden beast` number, since 7 + 0 + 2 + 8 + 19 + 597 + 31 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 78968494036 + ... + 78968494124.

Almost surely, 2^{7028195973120} is an apocalyptic number.

7028195973120 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 7028195973120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15556362822000).

7028195973120 is an abundant number, since it is smaller than the sum of its proper divisors (24084529670880).

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

7028195973120 is a wasteful number, since it uses less digits than its factorization.

7028195973120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 7028195973120 in words is "seven trillion, twenty-eight billion, one hundred ninety-five million, nine hundred seventy-three thousand, one hundred twenty".