7484256000 has 432 divisors, whose sum is σ = 29016624000. Its totient is φ = 1841356800.

The previous prime is 7484255927. The next prime is 7484256007. The reversal of 7484256000 is 6524847.

7484256000 is a `hidden beast` number, since 7 + 4 + 8 + 42 + 5 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7484256007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3743001 + ... + 3744999.

Almost surely, 2^7484256000 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 7484256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14508312000).

7484256000 is an abundant number, since it is smaller than the sum of its proper divisors (21532368000).

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

7484256000 is a wasteful number, since it uses less digits than its factorization.

7484256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2022 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 7484256000 is about 86511.5945986433. The cubic root of 7484256000 is about 1956.0631793612.

The spelling of 7484256000 in words is "seven billion, four hundred eighty-four million, two hundred fifty-six thousand".