7825289472 has 1080 divisors, whose sum is σ = 32587410240. Its totient is φ = 1811496960.

The previous prime is 7825289453. The next prime is 7825289473. The reversal of 7825289472 is 2749825287.

7825289472 is a `hidden beast` number, since 78 + 2 + 528 + 9 + 47 + 2 = 666.

It is a super-2 number, since 2×7825289472² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (7825289473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 269837554 + ... + 269837582.

It is an arithmetic number, because the mean of its divisors is an integer number (30173528).

Almost surely, 2^7825289472 is an apocalyptic number.

7825289472 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 7825289472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16293705120).

7825289472 is an abundant number, since it is smaller than the sum of its proper divisors (24762120768).

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

7825289472 is a wasteful number, since it uses less digits than its factorization.

7825289472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 65 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The square root of 7825289472 is about 88460.6662421214. Note that the first 3 decimals coincide. The cubic root of 7825289472 is about 1985.3334991139. Note that the first 3 decimals are identical.

The spelling of 7825289472 in words is "seven billion, eight hundred twenty-five million, two hundred eighty-nine thousand, four hundred seventy-two".