6487078416 has 320 divisors, whose sum is σ = 21998592000. Its totient is φ = 1598496768.

The previous prime is 6487078387. The next prime is 6487078417. The reversal of 6487078416 is 6148707846.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (6487078417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14776725 + ... + 14777163.

It is an arithmetic number, because the mean of its divisors is an integer number (68745600).

Almost surely, 2^6487078416 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 6487078416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10999296000).

6487078416 is an abundant number, since it is smaller than the sum of its proper divisors (15511513584).

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

6487078416 is a wasteful number, since it uses less digits than its factorization.

6487078416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The square root of 6487078416 is about 80542.4013548143. The cubic root of 6487078416 is about 1865.0180924819.

The spelling of 6487078416 in words is "six billion, four hundred eighty-seven million, seventy-eight thousand, four hundred sixteen".