5643004631040 has 2304 divisors, whose sum is σ = 24273606389760. Its totient is φ = 1230703165440.

The previous prime is 5643004630951. The next prime is 5643004631059. The reversal of 5643004631040 is 401364003465.

5643004631040 is a `hidden beast` number, since 5 + 64 + 30 + 0 + 463 + 104 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a junction number, because it is equal to n+sod(n) for n = 5643004630986 and 5643004631004.

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, 49938094024 + ... + 49938094136.

It is an arithmetic number, because the mean of its divisors is an integer number (10535419440).

Almost surely, 2^{5643004631040} 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 5643004631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12136803194880).

5643004631040 is an abundant number, since it is smaller than the sum of its proper divisors (18630601758720).

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

5643004631040 is a wasteful number, since it uses less digits than its factorization.

5643004631040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 5643004631040 in words is "five trillion, six hundred forty-three billion, four million, six hundred thirty-one thousand, forty".