6490243200 has 192 divisors, whose sum is σ = 24431382720. Its totient is φ = 1483468800.

The previous prime is 6490243189. The next prime is 6490243213. The reversal of 6490243200 is 23420946.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18910 + ... + 115490.

It is an arithmetic number, because the mean of its divisors is an integer number (127246785).

Almost surely, 2^6490243200 is an apocalyptic number.

6490243200 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 6490243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12215691360).

6490243200 is an abundant number, since it is smaller than the sum of its proper divisors (17941139520).

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

6490243200 is a wasteful number, since it uses less digits than its factorization.

6490243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96615 (or 96598 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 6490243200 is about 80562.0456542658. The cubic root of 6490243200 is about 1865.3213322177.

The spelling of 6490243200 in words is "six billion, four hundred ninety million, two hundred forty-three thousand, two hundred".