7285404672 has 792 divisors, whose sum is σ = 28285789896. Its totient is φ = 1783627776.

The previous prime is 7285404671. The next prime is 7285404701. The reversal of 7285404672 is 2764045827.

It is a happy number.

7285404672 is a `hidden beast` number, since 72 + 85 + 40 + 467 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 997549056 + 6287855616 = 31584^2 + 79296^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7285404671) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 99800028 + ... + 99800100.

Almost surely, 2^7285404672 is an apocalyptic number.

7285404672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7285404672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14142894948).

7285404672 is an abundant number, since it is smaller than the sum of its proper divisors (21000385224).

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

7285404672 is a wasteful number, since it uses less digits than its factorization.

7285404672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 7285404672 is about 85354.5820211194. The cubic root of 7285404672 is about 1938.5837142368.

The spelling of 7285404672 in words is "seven billion, two hundred eighty-five million, four hundred four thousand, six hundred seventy-two".