6479763840 has 384 divisors, whose sum is σ = 25204608000. Its totient is φ = 1519718400.

The previous prime is 6479763749. The next prime is 6479763841. The reversal of 6479763840 is 483679746.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6479763841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1962511 + ... + 1965809.

It is an arithmetic number, because the mean of its divisors is an integer number (65637000).

Almost surely, 2^6479763840 is an apocalyptic number.

6479763840 is a gapful number since it is divisible by the number (60) 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 6479763840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12602304000).

6479763840 is an abundant number, since it is smaller than the sum of its proper divisors (18724844160).

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

6479763840 is a wasteful number, since it uses less digits than its factorization.

6479763840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3366 (or 3351 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The square root of 6479763840 is about 80496.9803160342. The cubic root of 6479763840 is about 1864.3168550247.

The spelling of 6479763840 in words is "six billion, four hundred seventy-nine million, seven hundred sixty-three thousand, eight hundred forty".