7056673473600 has 945 divisors, whose sum is σ = 26672061927423. Its totient is φ = 1830010890240.

The previous prime is 7056673473571. The next prime is 7056673473617. The reversal of 7056673473600 is 63743766507.

The square root of 7056673473600 is 2656440.

It is a perfect power (a square), and thus also a powerful number.

7056673473600 is a `hidden beast` number, since 7 + 0 + 56 + 67 + 3 + 473 + 60 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 853465564224 + 6203207909376 = 923832^2 + 2490624^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 44946964722 + ... + 44946964878.

Almost surely, 2^{7056673473600} is an apocalyptic number.

7056673473600 is the 2656440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7056673473600

7056673473600 is an abundant number, since it is smaller than the sum of its proper divisors (19615388453823).

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

7056673473600 is an equidigital number, since it uses as much as digits as its factorization.

7056673473600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 13335840, while the sum is 54.

The spelling of 7056673473600 in words is "seven trillion, fifty-six billion, six hundred seventy-three million, four hundred seventy-three thousand, six hundred".