6477620601060 has 576 divisors, whose sum is σ = 23312707891200. Its totient is φ = 1424672686080.

The previous prime is 6477620600993. The next prime is 6477620601139. The reversal of 6477620601060 is 601060267746.

It is a happy number.

6477620601060 is a `hidden beast` number, since 6 + 4 + 7 + 7 + 620 + 6 + 0 + 10 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6477620600997 and 6477620601015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7593927594 + ... + 7593928446.

It is an arithmetic number, because the mean of its divisors is an integer number (40473451200).

Almost surely, 2^{6477620601060} is an apocalyptic number.

6477620601060 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 6477620601060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11656353945600).

6477620601060 is an abundant number, since it is smaller than the sum of its proper divisors (16835087290140).

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

6477620601060 is a wasteful number, since it uses less digits than its factorization.

6477620601060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 6477620601060 in words is "six trillion, four hundred seventy-seven billion, six hundred twenty million, six hundred one thousand, sixty".