7551416064256 has 243 divisors, whose sum is σ = 15940718665249. Its totient is φ = 3570180812800.

The previous prime is 7551416064211. The next prime is 7551416064341. The reversal of 7551416064256 is 6524606141557.

The square root of 7551416064256 is 2747984.

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

It can be written as a sum of positive squares in only one way, i.e., 363869542656 + 7187546521600 = 603216^2 + 2680960^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 106357972701 + ... + 106357972771.

Almost surely, 2^{7551416064256} is an apocalyptic number.

7551416064256 is the 2747984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7551416064256

7551416064256 is an abundant number, since it is smaller than the sum of its proper divisors (8389302600993).

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

7551416064256 is an frugal number, since it uses more digits than its factorization.

7551416064256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 52.

The spelling of 7551416064256 in words is "seven trillion, five hundred fifty-one billion, four hundred sixteen million, sixty-four thousand, two hundred fifty-six".