623261401664 has 224 divisors, whose sum is σ = 1466218454400. Its totient is φ = 259686236160.

The previous prime is 623261401627. The next prime is 623261401687. The reversal of 623261401664 is 466104162326.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88164722 + ... + 88171790.

It is an arithmetic number, because the mean of its divisors is an integer number (6545618100).

Almost surely, 2^623261401664 is an apocalyptic number.

623261401664 is a gapful number since it is divisible by the number (64) 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 623261401664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733109227200).

623261401664 is an abundant number, since it is smaller than the sum of its proper divisors (842957052736).

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

623261401664 is a wasteful number, since it uses less digits than its factorization.

623261401664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7301 (or 7291 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 41.

The spelling of 623261401664 in words is "six hundred twenty-three billion, two hundred sixty-one million, four hundred one thousand, six hundred sixty-four".