6406041600 has 624 divisors, whose sum is σ = 26976567040. Its totient is φ = 1459814400.

The previous prime is 6406041569. The next prime is 6406041613. The reversal of 6406041600 is 61406046.

6406041600 is a `hidden beast` number, since 6 + 40 + 604 + 16 + 0 + 0 = 666.

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

It is a congruent number.

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, 19353435 + ... + 19353765.

Almost surely, 2^6406041600 is an apocalyptic number.

6406041600 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 6406041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13488283520).

6406041600 is an abundant number, since it is smaller than the sum of its proper divisors (20570525440).

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

6406041600 is a wasteful number, since it uses less digits than its factorization.

6406041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6406041600 is about 80037.7510928437. The cubic root of 6406041600 is about 1857.2195710210.

Adding to 6406041600 its reverse (61406046), we get a palindrome (6467447646).

The spelling of 6406041600 in words is "six billion, four hundred six million, forty-one thousand, six hundred".