747584640 has 768 divisors, whose sum is σ = 3207859200. Its totient is φ = 164229120.

The previous prime is 747584597. The next prime is 747584641. The reversal of 747584640 is 46485747.

747584640 is a `hidden beast` number, since 7 + 4 + 7 + 584 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (747584641) by changing a digit.

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, 32503669 + ... + 32503691.

It is an arithmetic number, because the mean of its divisors is an integer number (4176900).

Almost surely, 2^747584640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 747584640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603929600).

747584640 is an abundant number, since it is smaller than the sum of its proper divisors (2460274560).

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

747584640 is a wasteful number, since it uses less digits than its factorization.

747584640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 747584640 is about 27341.9940750487. The cubic root of 747584640 is about 907.5839141037.

The spelling of 747584640 in words is "seven hundred forty-seven million, five hundred eighty-four thousand, six hundred forty".