7350279552 has 768 divisors, whose sum is σ = 28477747200. Its totient is φ = 1847577600.

The previous prime is 7350279539. The next prime is 7350279557. The reversal of 7350279552 is 2559720537.

7350279552 is a `hidden beast` number, since 7 + 3 + 502 + 7 + 95 + 52 = 666.

It is a super-3 number, since 3×7350279552³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7350279498 and 7350279507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7350279557) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 237105777 + ... + 237105807.

It is an arithmetic number, because the mean of its divisors is an integer number (37080400).

Almost surely, 2^7350279552 is an apocalyptic number.

7350279552 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 7350279552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14238873600).

7350279552 is an abundant number, since it is smaller than the sum of its proper divisors (21127467648).

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

7350279552 is an equidigital number, since it uses as much as digits as its factorization.

7350279552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 661500, while the sum is 45.

The square root of 7350279552 is about 85733.7713622817. The cubic root of 7350279552 is about 1944.3209346683.

The spelling of 7350279552 in words is "seven billion, three hundred fifty million, two hundred seventy-nine thousand, five hundred fifty-two".