7643240352 has 288 divisors, whose sum is σ = 25889310720. Its totient is φ = 2193765120.

The previous prime is 7643240329. The next prime is 7643240359. The reversal of 7643240352 is 2530423467.

7643240352 is a `hidden beast` number, since 7 + 64 + 3 + 240 + 352 = 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 (7643240359) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1622833 + ... + 1627535.

It is an arithmetic number, because the mean of its divisors is an integer number (89893440).

Almost surely, 2^7643240352 is an apocalyptic number.

7643240352 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 7643240352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12944655360).

7643240352 is an abundant number, since it is smaller than the sum of its proper divisors (18246070368).

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

7643240352 is a wasteful number, since it uses less digits than its factorization.

7643240352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4758 (or 4738 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 7643240352 is about 87425.6275470757. The cubic root of 7643240352 is about 1969.8168082722.

The spelling of 7643240352 in words is "seven billion, six hundred forty-three million, two hundred forty thousand, three hundred fifty-two".