7056208380672 has 1440 divisors, whose sum is σ = 25386126796800. Its totient is φ = 1924212326400.

The previous prime is 7056208380647. The next prime is 7056208380691. The reversal of 7056208380672 is 2760838026507.

7056208380672 is a `hidden beast` number, since 7 + 0 + 5 + 620 + 8 + 3 + 8 + 0 + 6 + 7 + 2 = 666.

It is a super-2 number, since 2×7056208380672² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14731123729 + ... + 14731124207.

It is an arithmetic number, because the mean of its divisors is an integer number (17629254720).

Almost surely, 2^{7056208380672} is an apocalyptic number.

7056208380672 is a gapful number since it is divisible by the number (72) 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 7056208380672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12693063398400).

7056208380672 is an abundant number, since it is smaller than the sum of its proper divisors (18329918416128).

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

7056208380672 is a wasteful number, since it uses less digits than its factorization.

7056208380672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 7056208380672 in words is "seven trillion, fifty-six billion, two hundred eight million, three hundred eighty thousand, six hundred seventy-two".