4733491875840 has 1664 divisors, whose sum is σ = 21806040883200. Its totient is φ = 945959731200.

The previous prime is 4733491875787. The next prime is 4733491875863. The reversal of 4733491875840 is 485781943374.

4733491875840 is a `hidden beast` number, since 4 + 7 + 3 + 3 + 49 + 1 + 8 + 7 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

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

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, 956065365 + ... + 956070315.

Almost surely, 2^{4733491875840} is an apocalyptic number.

4733491875840 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 4733491875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10903020441600).

4733491875840 is an abundant number, since it is smaller than the sum of its proper divisors (17072549007360).

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

4733491875840 is a wasteful number, since it uses less digits than its factorization.

4733491875840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5028 (or 5000 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 4733491875840 in words is "four trillion, seven hundred thirty-three billion, four hundred ninety-one million, eight hundred seventy-five thousand, eight hundred forty".