124781679360 has 720 divisors, whose sum is σ = 492247967904. Its totient is φ = 29987241984.

The previous prime is 124781679359. The next prime is 124781679383. The reversal of 124781679360 is 63976187421.

124781679360 is a `hidden beast` number, since 1 + 2 + 478 + 167 + 9 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a junction number, because it is equal to n+sod(n) for n = 124781679297 and 124781679306.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 57956044 + ... + 57958196.

Almost surely, 2^124781679360 is an apocalyptic number.

124781679360 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 124781679360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246123983952).

124781679360 is an abundant number, since it is smaller than the sum of its proper divisors (367466288544).

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

124781679360 is a wasteful number, since it uses less digits than its factorization.

124781679360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2242 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 124781679360 in words is "one hundred twenty-four billion, seven hundred eighty-one million, six hundred seventy-nine thousand, three hundred sixty".