7256678400 has 504 divisors, whose sum is σ = 27043221504. Its totient is φ = 1857945600.

The previous prime is 7256678393. The next prime is 7256678413. The reversal of 7256678400 is 48766527.

7256678400 is a `hidden beast` number, since 7 + 2 + 566 + 7 + 84 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 57139137 + ... + 57139263.

Almost surely, 2^7256678400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7256678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13521610752).

7256678400 is an abundant number, since it is smaller than the sum of its proper divisors (19786543104).

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

7256678400 is a wasteful number, since it uses less digits than its factorization.

7256678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 7256678400 is about 85186.1397176794. The cubic root of 7256678400 is about 1936.0324198291.

The spelling of 7256678400 in words is "seven billion, two hundred fifty-six million, six hundred seventy-eight thousand, four hundred".