6406735104 has 648 divisors, whose sum is σ = 24031716800. Its totient is φ = 1639249920.

The previous prime is 6406735099. The next prime is 6406735109. The reversal of 6406735104 is 4015376046.

It is a happy number.

6406735104 is a `hidden beast` number, since 640 + 6 + 7 + 3 + 5 + 1 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (6406735099) and next prime (6406735109).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6406735109) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 95622879 + ... + 95622945.

Almost surely, 2^6406735104 is an apocalyptic number.

6406735104 is a gapful number since it is divisible by the number (64) 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 6406735104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12015858400).

6406735104 is an abundant number, since it is smaller than the sum of its proper divisors (17624981696).

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

6406735104 is a wasteful number, since it uses less digits than its factorization.

6406735104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 6406735104 is about 80042.0833312077. The cubic root of 6406735104 is about 1857.2865881072.

The spelling of 6406735104 in words is "six billion, four hundred six million, seven hundred thirty-five thousand, one hundred four".