6476498421120 has 3072 divisors, whose sum is σ = 30179539353600. Its totient is φ = 1241404932096.

The previous prime is 6476498421083. The next prime is 6476498421149. The reversal of 6476498421120 is 211248946746.

6476498421120 is a `hidden beast` number, since 6 + 4 + 7 + 6 + 4 + 98 + 421 + 120 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 50996050497 + ... + 50996050623.

It is an arithmetic number, because the mean of its divisors is an integer number (9824068800).

Almost surely, 2^{6476498421120} is an apocalyptic number.

6476498421120 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 6476498421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15089769676800).

6476498421120 is an abundant number, since it is smaller than the sum of its proper divisors (23703040932480).

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

6476498421120 is a wasteful number, since it uses less digits than its factorization.

6476498421120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 6476498421120 in words is "six trillion, four hundred seventy-six billion, four hundred ninety-eight million, four hundred twenty-one thousand, one hundred twenty".