4733855360640 has 1024 divisors, whose sum is σ = 19582746624000. Its totient is φ = 1058398617600.

The previous prime is 4733855360599. The next prime is 4733855360657. The reversal of 4733855360640 is 460635583374.

4733855360640 is a `hidden beast` number, since 4 + 73 + 38 + 5 + 536 + 0 + 6 + 4 + 0 = 666.

It is a super-2 number, since 2×4733855360640² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1409303281 + ... + 1409306639.

It is an arithmetic number, because the mean of its divisors is an integer number (19123776000).

Almost surely, 2^{4733855360640} is an apocalyptic number.

4733855360640 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 4733855360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9791373312000).

4733855360640 is an abundant number, since it is smaller than the sum of its proper divisors (14848891263360).

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

4733855360640 is a wasteful number, since it uses less digits than its factorization.

4733855360640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3646 (or 3628 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 4733855360640 in words is "four trillion, seven hundred thirty-three billion, eight hundred fifty-five million, three hundred sixty thousand, six hundred forty".