6479762016 has 384 divisors, whose sum is σ = 21811507200. Its totient is φ = 1638973440.

The previous prime is 6479761997. The next prime is 6479762017. The reversal of 6479762016 is 6102679746.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6479762017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28295790 + ... + 28296018.

It is an arithmetic number, because the mean of its divisors is an integer number (56800800).

Almost surely, 2^6479762016 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 6479762016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10905753600).

6479762016 is an abundant number, since it is smaller than the sum of its proper divisors (15331745184).

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

6479762016 is a wasteful number, since it uses less digits than its factorization.

6479762016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 6479762016 is about 80496.9689864159. The cubic root of 6479762016 is about 1864.3166800947.

The spelling of 6479762016 in words is "six billion, four hundred seventy-nine million, seven hundred sixty-two thousand, sixteen".