7469856000 has 432 divisors, whose sum is σ = 27644552208. Its totient is φ = 1935360000.

The previous prime is 7469855923. The next prime is 7469856013. The reversal of 7469856000 is 6589647.

It can be written as a sum of positive squares in 8 ways, for example, as 227165184 + 7242690816 = 15072^2 + 85104^2 .

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10655650 + ... + 10656350.

It is an arithmetic number, because the mean of its divisors is an integer number (63992019).

Almost surely, 2^7469856000 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 7469856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13822276104).

7469856000 is an abundant number, since it is smaller than the sum of its proper divisors (20174696208).

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

7469856000 is a wasteful number, since it uses less digits than its factorization.

7469856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 7469856000 is about 86428.3286891515. The cubic root of 7469856000 is about 1954.8078600118.

The spelling of 7469856000 in words is "seven billion, four hundred sixty-nine million, eight hundred fifty-six thousand".