621966308634468 has 576 divisors, whose sum is σ = 1946092965062400. Its totient is φ = 171143666104320.

The previous prime is 621966308634323. The next prime is 621966308634499. The reversal of 621966308634468 is 864436803669126.

621966308634468 is a `hidden beast` number, since 6 + 2 + 1 + 96 + 6 + 30 + 8 + 63 + 446 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 621966308634396 and 621966308634405.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22046928883 + ... + 22046957093.

It is an arithmetic number, because the mean of its divisors is an integer number (3378633619900).

Almost surely, 2^{621966308634468} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 621966308634468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973046482531200).

621966308634468 is an abundant number, since it is smaller than the sum of its proper divisors (1324126656427932).

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

621966308634468 is a wasteful number, since it uses less digits than its factorization.

621966308634468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29417 (or 29402 counting only the distinct ones).

The product of its (nonzero) digits is 1289945088, while the sum is 72.

The spelling of 621966308634468 in words is "six hundred twenty-one trillion, nine hundred sixty-six billion, three hundred eight million, six hundred thirty-four thousand, four hundred sixty-eight".