124399680768 has 720 divisors, whose sum is σ = 425191506432. Its totient is φ = 35831808000.

The previous prime is 124399680767. The next prime is 124399680781. The reversal of 124399680768 is 867086993421.

124399680768 is a `hidden beast` number, since 124 + 399 + 68 + 0 + 7 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124399680767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 516181128 + ... + 516181368.

Almost surely, 2^124399680768 is an apocalyptic number.

124399680768 is a gapful number since it is divisible by the number (18) 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 124399680768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212595753216).

124399680768 is an abundant number, since it is smaller than the sum of its proper divisors (300791825664).

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

124399680768 is a wasteful number, since it uses less digits than its factorization.

124399680768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 124399680768 in words is "one hundred twenty-four billion, three hundred ninety-nine million, six hundred eighty thousand, seven hundred sixty-eight".