733400008056 has 192 divisors, whose sum is σ = 2252120832000. Its totient is φ = 214384008960.

The previous prime is 733400008009. The next prime is 733400008057. The reversal of 733400008056 is 650800004337.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 733400008056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (733400008057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 599430 + ... + 1351338.

It is an arithmetic number, because the mean of its divisors is an integer number (11729796000).

Almost surely, 2^733400008056 is an apocalyptic number.

733400008056 is a gapful number since it is divisible by the number (76) 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 733400008056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126060416000).

733400008056 is an abundant number, since it is smaller than the sum of its proper divisors (1518720823944).

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

733400008056 is a wasteful number, since it uses less digits than its factorization.

733400008056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751994 (or 751987 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 733400008056 in words is "seven hundred thirty-three billion, four hundred million, eight thousand, fifty-six".