7405316352 has 288 divisors, whose sum is σ = 25644514560. Its totient is φ = 2063646720.

The previous prime is 7405316351. The next prime is 7405316377. The reversal of 7405316352 is 2536135047.

7405316352 is a `hidden beast` number, since 74 + 0 + 531 + 6 + 3 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (7405316351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1981878 + ... + 1985610.

Almost surely, 2^7405316352 is an apocalyptic number.

7405316352 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 7405316352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12822257280).

7405316352 is an abundant number, since it is smaller than the sum of its proper divisors (18239198208).

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

7405316352 is a wasteful number, since it uses less digits than its factorization.

7405316352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3806 (or 3786 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 7405316352 is about 86054.1477907951. The cubic root of 7405316352 is about 1949.1617130526.

The spelling of 7405316352 in words is "seven billion, four hundred five million, three hundred sixteen thousand, three hundred fifty-two".