733219968 has 128 divisors (see below), whose sum is σ = 2111155200. Its totient is φ = 224133120.

The previous prime is 733219951. The next prime is 733219997. The reversal of 733219968 is 869912337.

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

It is a super-2 number, since 2×733219968² = 1075223042947842048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 953088 + ... + 953856.

It is an arithmetic number, because the mean of its divisors is an integer number (16493400).

Almost surely, 2^733219968 is an apocalyptic number.

733219968 is a gapful number since it is divisible by the number (78) 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 733219968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055577600).

733219968 is an abundant number, since it is smaller than the sum of its proper divisors (1377935232).

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

733219968 is a wasteful number, since it uses less digits than its factorization.

733219968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 978 counting only the distinct ones).

The product of its digits is 489888, while the sum is 48.

The square root of 733219968 is about 27078.0347883668. The cubic root of 733219968 is about 901.7332721668.

The spelling of 733219968 in words is "seven hundred thirty-three million, two hundred nineteen thousand, nine hundred sixty-eight".