4347440000640 has 512 divisors, whose sum is σ = 17376153696000. Its totient is φ = 1017581322240.

The previous prime is 4347440000623. The next prime is 4347440000711. The reversal of 4347440000640 is 460000447434.

4347440000640 is a `hidden beast` number, since 4 + 3 + 4 + 7 + 4 + 4 + 0 + 0 + 0 + 0 + 640 = 666.

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 = 4347440000595 and 4347440000604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5117982 + ... + 5906658.

Almost surely, 2^{4347440000640} is an apocalyptic number.

4347440000640 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 4347440000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8688076848000).

4347440000640 is an abundant number, since it is smaller than the sum of its proper divisors (13028713695360).

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

4347440000640 is a wasteful number, since it uses less digits than its factorization.

4347440000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788745 (or 788727 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

The spelling of 4347440000640 in words is "four trillion, three hundred forty-seven billion, four hundred forty million, six hundred forty", and thus it is an aban number.