6479061120 has 768 divisors, whose sum is σ = 27136961280. Its totient is φ = 1393459200.

The previous prime is 6479061119. The next prime is 6479061133. The reversal of 6479061120 is 211609746.

6479061120 is a `hidden beast` number, since 6 + 479 + 0 + 61 + 120 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64149070 + ... + 64149170.

It is an arithmetic number, because the mean of its divisors is an integer number (35334585).

Almost surely, 2^6479061120 is an apocalyptic number.

6479061120 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 6479061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13568480640).

6479061120 is an abundant number, since it is smaller than the sum of its proper divisors (20657900160).

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

6479061120 is a wasteful number, since it uses less digits than its factorization.

6479061120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 6479061120 is about 80492.6153134559. The cubic root of 6479061120 is about 1864.2494585303.

The spelling of 6479061120 in words is "six billion, four hundred seventy-nine million, sixty-one thousand, one hundred twenty".