733056996672 has 1792 divisors, whose sum is σ = 3020276367360. Its totient is φ = 168260198400.

The previous prime is 733056996671. The next prime is 733056996689. The reversal of 733056996672 is 276699650337.

733056996672 is a `hidden beast` number, since 7 + 3 + 3 + 0 + 569 + 9 + 6 + 67 + 2 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (733056996671) 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 255 ways as a sum of consecutive naturals, for example, 5772102273 + ... + 5772102399.

It is an arithmetic number, because the mean of its divisors is an integer number (1685422080).

Almost surely, 2^733056996672 is an apocalyptic number.

733056996672 is a gapful number since it is divisible by the number (72) 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 733056996672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510138183680).

733056996672 is an abundant number, since it is smaller than the sum of its proper divisors (2287219370688).

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

733056996672 is a wasteful number, since it uses less digits than its factorization.

733056996672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 77157360, while the sum is 63.

The spelling of 733056996672 in words is "seven hundred thirty-three billion, fifty-six million, nine hundred ninety-six thousand, six hundred seventy-two".