733616640 has 240 divisors, whose sum is σ = 2691611208. Its totient is φ = 184025088.

The previous prime is 733616627. The next prime is 733616641. The reversal of 733616640 is 46616337.

It is a happy number.

733616640 is a `hidden beast` number, since 7 + 3 + 3 + 6 + 1 + 6 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 481188096 + 252428544 = 21936^2 + 15888^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 733616595 and 733616604.

It is not an unprimeable number, because it can be changed into a prime (733616641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 390744 + ... + 392616.

Almost surely, 2^733616640 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 733616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345805604).

733616640 is an abundant number, since it is smaller than the sum of its proper divisors (1957994568).

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

733616640 is a wasteful number, since it uses less digits than its factorization.

733616640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1919 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 733616640 is about 27085.3584063420. The cubic root of 733616640 is about 901.8958554168.

The spelling of 733616640 in words is "seven hundred thirty-three million, six hundred sixteen thousand, six hundred forty".