733400242704 has 200 divisors, whose sum is σ = 2156636549760. Its totient is φ = 240575692032.

The previous prime is 733400242703. The next prime is 733400242711. The reversal of 733400242704 is 407242004337.

733400242704 is a `hidden beast` number, since 7 + 3 + 3 + 400 + 242 + 7 + 0 + 4 = 666.

It is a super-3 number, since 3×733400242704³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (733400242703) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31420222 + ... + 31443554.

Almost surely, 2^733400242704 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 733400242704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078318274880).

733400242704 is an abundant number, since it is smaller than the sum of its proper divisors (1423236307056).

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

733400242704 is a wasteful number, since it uses less digits than its factorization.

733400242704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23739 (or 23724 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

The spelling of 733400242704 in words is "seven hundred thirty-three billion, four hundred million, two hundred forty-two thousand, seven hundred four".