6479849376 has 864 divisors, whose sum is σ = 26665329600. Its totient is φ = 1471841280.

The previous prime is 6479849359. The next prime is 6479849381. The reversal of 6479849376 is 6739489746.

6479849376 is a `hidden beast` number, since 6 + 4 + 79 + 8 + 493 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 341044695 + ... + 341044713.

It is an arithmetic number, because the mean of its divisors is an integer number (30862650).

Almost surely, 2^6479849376 is an apocalyptic number.

6479849376 is a gapful number since it is divisible by the number (66) 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 6479849376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13332664800).

6479849376 is an abundant number, since it is smaller than the sum of its proper divisors (20185480224).

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

6479849376 is a wasteful number, since it uses less digits than its factorization.

6479849376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 55 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 63.

The square root of 6479849376 is about 80497.5116137139. The cubic root of 6479849376 is about 1864.3250582817.

The spelling of 6479849376 in words is "six billion, four hundred seventy-nine million, eight hundred forty-nine thousand, three hundred seventy-six".