124064328960 has 864 divisors, whose sum is σ = 509121220608. Its totient is φ = 27497594880.

The previous prime is 124064328953. The next prime is 124064328967. The reversal of 124064328960 is 69823460421.

124064328960 is a `hidden beast` number, since 124 + 0 + 6 + 432 + 8 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (124064328953) and next prime (124064328967).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124064328967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 209214424 + ... + 209215016.

It is an arithmetic number, because the mean of its divisors is an integer number (589260672).

Almost surely, 2^124064328960 is an apocalyptic number.

124064328960 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 124064328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254560610304).

124064328960 is an abundant number, since it is smaller than the sum of its proper divisors (385056891648).

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

124064328960 is a wasteful number, since it uses less digits than its factorization.

124064328960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 124064328960 in words is "one hundred twenty-four billion, sixty-four million, three hundred twenty-eight thousand, nine hundred sixty".