7364725632 has 128 divisors (see below), whose sum is σ = 23712307200. Its totient is φ = 2231723520.

The previous prime is 7364725609. The next prime is 7364725633. The reversal of 7364725632 is 2365274637.

7364725632 is a `hidden beast` number, since 7 + 3 + 6 + 4 + 7 + 2 + 5 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7364725633) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 58848 + ... + 134879.

It is an arithmetic number, because the mean of its divisors is an integer number (185252400).

Almost surely, 2^7364725632 is an apocalyptic number.

7364725632 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7364725632 is an abundant number, since it is smaller than the sum of its proper divisors (16347581568).

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

7364725632 is a wasteful number, since it uses less digits than its factorization.

7364725632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193761 (or 193743 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 45.

The square root of 7364725632 is about 85817.9796546155. The cubic root of 7364725632 is about 1945.5938764920.

The spelling of 7364725632 in words is "seven billion, three hundred sixty-four million, seven hundred twenty-five thousand, six hundred thirty-two".