7256104400 has 240 divisors, whose sum is σ = 18877791744. Its totient is φ = 2673623040.

The previous prime is 7256104381. The next prime is 7256104411. The reversal of 7256104400 is 44016527.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41942714 + ... + 41942886.

Almost surely, 2^7256104400 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 7256104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9438895872).

7256104400 is an abundant number, since it is smaller than the sum of its proper divisors (11621687344).

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

7256104400 is a wasteful number, since it uses less digits than its factorization.

7256104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 7256104400 is about 85182.7705583705. The cubic root of 7256104400 is about 1935.9813720517.

The spelling of 7256104400 in words is "seven billion, two hundred fifty-six million, one hundred four thousand, four hundred".