6479354160 has 640 divisors, whose sum is σ = 25648358400. Its totient is φ = 1492992000.

The previous prime is 6479354149. The next prime is 6479354209. The reversal of 6479354160 is 614539746.

6479354160 is a `hidden beast` number, since 6 + 47 + 9 + 3 + 541 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25814035 + ... + 25814285.

It is an arithmetic number, because the mean of its divisors is an integer number (40075560).

Almost surely, 2^6479354160 is an apocalyptic number.

6479354160 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 6479354160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12824179200).

6479354160 is an abundant number, since it is smaller than the sum of its proper divisors (19169004240).

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

6479354160 is a wasteful number, since it uses less digits than its factorization.

6479354160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 6479354160 is about 80494.4355840825. The cubic root of 6479354160 is about 1864.2775640132.

The spelling of 6479354160 in words is "six billion, four hundred seventy-nine million, three hundred fifty-four thousand, one hundred sixty".