6008048640 has 528 divisors, whose sum is σ = 23605021440. Its totient is φ = 1453178880.

The previous prime is 6008048617. The next prime is 6008048663. The reversal of 6008048640 is 468408006.

6008048640 is a `hidden beast` number, since 6 + 0 + 0 + 8 + 0 + 4 + 8 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (6008048617) and next prime (6008048663).

It is a tau number, because it is divible by the number of its divisors (528).

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 = 6008048595 and 6008048604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13685541 + ... + 13685979.

It is an arithmetic number, because the mean of its divisors is an integer number (44706480).

Almost surely, 2^6008048640 is an apocalyptic number.

6008048640 is a gapful number since it is divisible by the number (60) 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 6008048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11802510720).

6008048640 is an abundant number, since it is smaller than the sum of its proper divisors (17596972800).

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

6008048640 is a wasteful number, since it uses less digits than its factorization.

6008048640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 6008048640 is about 77511.6032604151. The cubic root of 6008048640 is about 1817.9327492033.

The spelling of 6008048640 in words is "six billion, eight million, forty-eight thousand, six hundred forty".