624878242560 has 1728 divisors, whose sum is σ = 2746651130496. Its totient is φ = 128817561600.

The previous prime is 624878242519. The next prime is 624878242591. The reversal of 624878242560 is 65242878426.

624878242560 is a `hidden beast` number, since 6 + 2 + 4 + 8 + 78 + 2 + 4 + 2 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 624878242497 and 624878242506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1484271150 + ... + 1484271570.

It is an arithmetic number, because the mean of its divisors is an integer number (1589497182).

Almost surely, 2^624878242560 is an apocalyptic number.

624878242560 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 624878242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373325565248).

624878242560 is an abundant number, since it is smaller than the sum of its proper divisors (2121772887936).

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

624878242560 is a wasteful number, since it uses less digits than its factorization.

624878242560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 624878242560 in words is "six hundred twenty-four billion, eight hundred seventy-eight million, two hundred forty-two thousand, five hundred sixty".