7340159952 has 320 divisors, whose sum is σ = 23141376000. Its totient is φ = 2219622912.

The previous prime is 7340159941. The next prime is 7340159977. The reversal of 7340159952 is 2599510437.

It is a happy number.

7340159952 is a `hidden beast` number, since 7 + 3 + 4 + 0 + 1 + 599 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7340159898 and 7340159907.

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 63 ways as a sum of consecutive naturals, for example, 20445949 + ... + 20446307.

It is an arithmetic number, because the mean of its divisors is an integer number (72316800).

Almost surely, 2^7340159952 is an apocalyptic number.

7340159952 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 7340159952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11570688000).

7340159952 is an abundant number, since it is smaller than the sum of its proper divisors (15801216048).

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

7340159952 is a wasteful number, since it uses less digits than its factorization.

7340159952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 7340159952 is about 85674.7334515842. The cubic root of 7340159952 is about 1943.4282345325.

The spelling of 7340159952 in words is "seven billion, three hundred forty million, one hundred fifty-nine thousand, nine hundred fifty-two".