4744476084096 has 640 divisors, whose sum is σ = 17533933824000. Its totient is φ = 1242781470720.

The previous prime is 4744476084091. The next prime is 4744476084107. The reversal of 4744476084096 is 6904806744474.

4744476084096 is a `hidden beast` number, since 4 + 7 + 4 + 447 + 60 + 8 + 40 + 96 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4744476084091) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42691770 + ... + 42802758.

It is an arithmetic number, because the mean of its divisors is an integer number (27396771600).

Almost surely, 2^{4744476084096} 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 4744476084096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8766966912000).

4744476084096 is an abundant number, since it is smaller than the sum of its proper divisors (12789457739904).

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

4744476084096 is a wasteful number, since it uses less digits than its factorization.

4744476084096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111072 (or 111051 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 63.

The spelling of 4744476084096 in words is "four trillion, seven hundred forty-four billion, four hundred seventy-six million, eighty-four thousand, ninety-six".