6415056336 has 160 divisors (see below), whose sum is σ = 18887680000. Its totient is φ = 1859894784.

The previous prime is 6415056299. The next prime is 6415056353. The reversal of 6415056336 is 6336505146.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 6415056294 and 6415056303.

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, 2357985 + ... + 2360703.

It is an arithmetic number, because the mean of its divisors is an integer number (118048000).

Almost surely, 2^6415056336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6415056336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9443840000).

6415056336 is an abundant number, since it is smaller than the sum of its proper divisors (12472623664).

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

6415056336 is a wasteful number, since it uses less digits than its factorization.

6415056336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2961 (or 2955 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 39.

The square root of 6415056336 is about 80094.0468199728. The cubic root of 6415056336 is about 1858.0903373952.

The spelling of 6415056336 in words is "six billion, four hundred fifteen million, fifty-six thousand, three hundred thirty-six".