7332841152 has 672 divisors, whose sum is σ = 28106624000. Its totient is φ = 1773674496.

The previous prime is 7332841123. The next prime is 7332841169. The reversal of 7332841152 is 2511482337.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×7332841152³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (40320) is a multiple of the sum of its prime divisors (280).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 36848349 + ... + 36848547.

Almost surely, 2^7332841152 is an apocalyptic number.

7332841152 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 7332841152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14053312000).

7332841152 is an abundant number, since it is smaller than the sum of its proper divisors (20773782848).

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

7332841152 is a wasteful number, since it uses less digits than its factorization.

7332841152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 280 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 7332841152 is about 85632.0100896855. The cubic root of 7332841152 is about 1942.7820954534.

The spelling of 7332841152 in words is "seven billion, three hundred thirty-two million, eight hundred forty-one thousand, one hundred fifty-two".