7305670882656 has 144 divisors (see below), whose sum is σ = 21904288660800. Its totient is φ = 2303325828864.

The previous prime is 7305670882651. The next prime is 7305670882673. The reversal of 7305670882656 is 6562880765037.

It is a happy number.

7305670882656 is a `hidden beast` number, since 7 + 3 + 0 + 567 + 0 + 8 + 8 + 2 + 65 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×7305670882656² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7305670882593 and 7305670882602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7305670882651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2308735 + ... + 4465601.

It is an arithmetic number, because the mean of its divisors is an integer number (152113115700).

Almost surely, 2^{7305670882656} is an apocalyptic number.

7305670882656 is a gapful number since it is divisible by the number (76) 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 7305670882656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10952144330400).

7305670882656 is an abundant number, since it is smaller than the sum of its proper divisors (14598617778144).

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

7305670882656 is a wasteful number, since it uses less digits than its factorization.

7305670882656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157521 (or 2157510 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 7305670882656 in words is "seven trillion, three hundred five billion, six hundred seventy million, eight hundred eighty-two thousand, six hundred fifty-six".