6490411200 has 1008 divisors, whose sum is σ = 29510492160. Its totient is φ = 1358622720.

The previous prime is 6490411199. The next prime is 6490411237. The reversal of 6490411200 is 21140946.

6490411200 is a `hidden beast` number, since 6 + 49 + 0 + 411 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 51105537 + ... + 51105663.

Almost surely, 2^6490411200 is an apocalyptic number.

6490411200 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 6490411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14755246080).

6490411200 is an abundant number, since it is smaller than the sum of its proper divisors (23020080960).

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

6490411200 is a wasteful number, since it uses less digits than its factorization.

6490411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 6490411200 is about 80563.0883221342. The cubic root of 6490411200 is about 1865.3374266983.

The spelling of 6490411200 in words is "six billion, four hundred ninety million, four hundred eleven thousand, two hundred".