7405327152 has 100 divisors (see below), whose sum is σ = 21492029680. Its totient is φ = 2461663872.

The previous prime is 7405327133. The next prime is 7405327183. The reversal of 7405327152 is 2517235047.

7405327152 is a `hidden beast` number, since 7 + 4 + 0 + 532 + 71 + 52 = 666.

It is a super-2 number, since 2×7405327152² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 475749 + ... + 491067.

Almost surely, 2^7405327152 is an apocalyptic number.

7405327152 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 7405327152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10746014840).

7405327152 is an abundant number, since it is smaller than the sum of its proper divisors (14086702528).

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

7405327152 is a wasteful number, since it uses less digits than its factorization.

7405327152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15712 (or 15697 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 7405327152 is about 86054.2105419601. The cubic root of 7405327152 is about 1949.1626606122.

The spelling of 7405327152 in words is "seven billion, four hundred five million, three hundred twenty-seven thousand, one hundred fifty-two".