6627969962460 has 2880 divisors, whose sum is σ = 29069365248000. Its totient is φ = 1232334259200.

The previous prime is 6627969962423. The next prime is 6627969962513. The reversal of 6627969962460 is 642699697266.

It is a happy number.

6627969962460 is a `hidden beast` number, since 6 + 6 + 2 + 79 + 6 + 9 + 96 + 2 + 460 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 47683237071 + ... + 47683237209.

It is an arithmetic number, because the mean of its divisors is an integer number (10093529600).

Almost surely, 2^{6627969962460} is an apocalyptic number.

6627969962460 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 6627969962460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14534682624000).

6627969962460 is an abundant number, since it is smaller than the sum of its proper divisors (22441395285540).

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

6627969962460 is a wasteful number, since it uses less digits than its factorization.

6627969962460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 634894848, while the sum is 72.

The spelling of 6627969962460 in words is "six trillion, six hundred twenty-seven billion, nine hundred sixty-nine million, nine hundred sixty-two thousand, four hundred sixty".