123664990680 has 960 divisors, whose sum is σ = 555379545600. Its totient is φ = 24337635840.

The previous prime is 123664990679. The next prime is 123664990697. The reversal of 123664990680 is 86099466321.

123664990680 is a `hidden beast` number, since 12 + 3 + 66 + 499 + 0 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 33178977 + ... + 33182703.

It is an arithmetic number, because the mean of its divisors is an integer number (578520360).

Almost surely, 2^123664990680 is an apocalyptic number.

123664990680 is a gapful number since it is divisible by the number (10) 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 123664990680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277689772800).

123664990680 is an abundant number, since it is smaller than the sum of its proper divisors (431714554920).

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

123664990680 is a wasteful number, since it uses less digits than its factorization.

123664990680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3794 (or 3774 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 123664990680 in words is "one hundred twenty-three billion, six hundred sixty-four million, nine hundred ninety thousand, six hundred eighty".