6409497600 has 660 divisors, whose sum is σ = 25983357048. Its totient is φ = 1548288000.

The previous prime is 6409497593. The next prime is 6409497613. The reversal of 6409497600 is 67949046.

It is a tau number, because it is divible by the number of its divisors (660).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 22809460 + ... + 22809740.

Almost surely, 2^6409497600 is an apocalyptic number.

6409497600 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 6409497600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12991678524).

6409497600 is an abundant number, since it is smaller than the sum of its proper divisors (19573859448).

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

6409497600 is a wasteful number, since it uses less digits than its factorization.

6409497600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 6409497600 is about 80059.3379937656. The cubic root of 6409497600 is about 1857.5534952202.

The spelling of 6409497600 in words is "six billion, four hundred nine million, four hundred ninety-seven thousand, six hundred".