7256450688400 has 75 divisors (see below), whose sum is σ = 17481255628001. Its totient is φ = 2894671337280.

The previous prime is 7256450688379. The next prime is 7256450688407. The reversal of 7256450688400 is 48860546527.

The square root of 7256450688400 is 2693780.

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., 2612322247824 + 4644128440576 = 1616268^2 + 2155024^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7256450688407) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 19772345017 + ... + 19772345383.

Almost surely, 2^{7256450688400} is an apocalyptic number.

7256450688400 is the 2693780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7256450688400

7256450688400 is an abundant number, since it is smaller than the sum of its proper divisors (10224804939601).

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

7256450688400 is an frugal number, since it uses more digits than its factorization.

7256450688400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 55.

The spelling of 7256450688400 in words is "seven trillion, two hundred fifty-six billion, four hundred fifty million, six hundred eighty-eight thousand, four hundred".