4333730768640 has 1728 divisors, whose sum is σ = 19057475813376. Its totient is φ = 884902330368.

The previous prime is 4333730768621. The next prime is 4333730768651. The reversal of 4333730768640 is 468670373334.

It is a happy number.

4333730768640 is a `hidden beast` number, since 433 + 37 + 30 + 76 + 86 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5724875142 + ... + 5724875898.

Almost surely, 2^{4333730768640} is an apocalyptic number.

4333730768640 is a gapful number since it is divisible by the number (40) 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 4333730768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9528737906688).

4333730768640 is an abundant number, since it is smaller than the sum of its proper divisors (14723745044736).

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

4333730768640 is a wasteful number, since it uses less digits than its factorization.

4333730768640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 54.

The spelling of 4333730768640 in words is "four trillion, three hundred thirty-three billion, seven hundred thirty million, seven hundred sixty-eight thousand, six hundred forty".