6975200338560 has 512 divisors, whose sum is σ = 24832678464000. Its totient is φ = 1850381107200.

The previous prime is 6975200338531. The next prime is 6975200338571. The reversal of 6975200338560 is 658330025796.

It is a happy number.

6975200338560 is a `hidden beast` number, since 6 + 9 + 7 + 520 + 0 + 33 + 85 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6975200338497 and 6975200338506.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3041952774 + ... + 3041955066.

It is an arithmetic number, because the mean of its divisors is an integer number (48501325125).

Almost surely, 2^{6975200338560} is an apocalyptic number.

6975200338560 is a gapful number since it is divisible by the number (60) 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 6975200338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12416339232000).

6975200338560 is an abundant number, since it is smaller than the sum of its proper divisors (17857478125440).

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

6975200338560 is a wasteful number, since it uses less digits than its factorization.

6975200338560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3161 (or 3143 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 6975200338560 in words is "six trillion, nine hundred seventy-five billion, two hundred million, three hundred thirty-eight thousand, five hundred sixty".