6404416500 has 96 divisors (see below), whose sum is σ = 18668272896. Its totient is φ = 1706140800.

The previous prime is 6404416483. The next prime is 6404416523. The reversal of 6404416500 is 56144046.

It is a super-3 number, since 3×6404416500³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2418177 + ... + 2420823.

It is an arithmetic number, because the mean of its divisors is an integer number (194461176).

Almost surely, 2^6404416500 is an apocalyptic number.

6404416500 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 6404416500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9334136448).

6404416500 is an abundant number, since it is smaller than the sum of its proper divisors (12263856396).

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

6404416500 is a wasteful number, since it uses less digits than its factorization.

6404416500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4282 (or 4270 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 6404416500 is about 80027.5983645642. The cubic root of 6404416500 is about 1857.0625097671.

The spelling of 6404416500 in words is "six billion, four hundred four million, four hundred sixteen thousand, five hundred".