623662663680 has 2304 divisors, whose sum is σ = 2859051686400. Its totient is φ = 122305904640.

The previous prime is 623662663649. The next prime is 623662663691. The reversal of 623662663680 is 86366266326.

623662663680 is a `hidden beast` number, since 6 + 2 + 3 + 6 + 626 + 6 + 3 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×623662663680² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8543324124 + ... + 8543324196.

It is an arithmetic number, because the mean of its divisors is an integer number (1240907850).

Almost surely, 2^623662663680 is an apocalyptic number.

623662663680 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 623662663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429525843200).

623662663680 is an abundant number, since it is smaller than the sum of its proper divisors (2235389022720).

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

623662663680 is a wasteful number, since it uses less digits than its factorization.

623662663680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 54.

The spelling of 623662663680 in words is "six hundred twenty-three billion, six hundred sixty-two million, six hundred sixty-three thousand, six hundred eighty".