6499634400 has 1080 divisors, whose sum is σ = 29094856560. Its totient is φ = 1405071360.

The previous prime is 6499634381. The next prime is 6499634417. The reversal of 6499634400 is 44369946.

It is a happy number.

6499634400 is a `hidden beast` number, since 6 + 4 + 9 + 9 + 634 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 73029556 + ... + 73029644.

It is an arithmetic number, because the mean of its divisors is an integer number (26939682).

Almost surely, 2^6499634400 is an apocalyptic number.

6499634400 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 6499634400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14547428280).

6499634400 is an abundant number, since it is smaller than the sum of its proper divisors (22595222160).

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

6499634400 is a wasteful number, since it uses less digits than its factorization.

6499634400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 6499634400 is about 80620.3100961538. The cubic root of 6499634400 is about 1866.2205878531.

The spelling of 6499634400 in words is "six billion, four hundred ninety-nine million, six hundred thirty-four thousand, four hundred".