6415286736 has 240 divisors, whose sum is σ = 18747728640. Its totient is φ = 1886330880.

The previous prime is 6415286729. The next prime is 6415286747. The reversal of 6415286736 is 6376825146.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14884441 + ... + 14884871.

It is an arithmetic number, because the mean of its divisors is an integer number (78115536).

Almost surely, 2^6415286736 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 6415286736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9373864320).

6415286736 is an abundant number, since it is smaller than the sum of its proper divisors (12332441904).

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

6415286736 is a wasteful number, since it uses less digits than its factorization.

6415286736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 519 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The square root of 6415286736 is about 80095.4851162036. The cubic root of 6415286736 is about 1858.1125818810.

The spelling of 6415286736 in words is "six billion, four hundred fifteen million, two hundred eighty-six thousand, seven hundred thirty-six".