733153680 has 300 divisors, whose sum is σ = 2963365020. Its totient is φ = 167505408.

The previous prime is 733153657. The next prime is 733153697. The reversal of 733153680 is 86351337.

It can be written as a sum of positive squares in 2 ways, for example, as 448084224 + 285069456 = 21168^2 + 16884^2 .

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

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 316366 + ... + 318674.

Almost surely, 2^733153680 is an apocalyptic number.

733153680 is a gapful number since it is divisible by the number (70) 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 733153680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481682510).

733153680 is an abundant number, since it is smaller than the sum of its proper divisors (2230211340).

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

733153680 is a wasteful number, since it uses less digits than its factorization.

733153680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 733153680 is about 27076.8107427740. The cubic root of 733153680 is about 901.7060971038.

The spelling of 733153680 in words is "seven hundred thirty-three million, one hundred fifty-three thousand, six hundred eighty".