6416625600 has 840 divisors, whose sum is σ = 29451531648. Its totient is φ = 1331251200.

The previous prime is 6416625599. The next prime is 6416625617. The reversal of 6416625600 is 65266146.

It is a happy number.

6416625600 is a `hidden beast` number, since 6 + 41 + 6 + 6 + 2 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9978879 + ... + 9979521.

Almost surely, 2^6416625600 is an apocalyptic number.

6416625600 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 6416625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14725765824).

6416625600 is an abundant number, since it is smaller than the sum of its proper divisors (23034906048).

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

6416625600 is a wasteful number, since it uses less digits than its factorization.

6416625600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6416625600 is about 80103.8426044594. The cubic root of 6416625600 is about 1858.2418349761.

The spelling of 6416625600 in words is "six billion, four hundred sixteen million, six hundred twenty-five thousand, six hundred".