2415427799328 has 672 divisors, whose sum is σ = 7679155680000. Its totient is φ = 745275852288.

The previous prime is 2415427799327. The next prime is 2415427799377. The reversal of 2415427799328 is 8239977245142.

2415427799328 is a `hidden beast` number, since 2 + 4 + 154 + 2 + 77 + 99 + 328 = 666.

It is not an unprimeable number, because it can be changed into a prime (2415427799327) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 4840536423 + ... + 4840536921.

It is an arithmetic number, because the mean of its divisors is an integer number (11427315000).

Almost surely, 2^{2415427799328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2415427799328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3839577840000).

2415427799328 is an abundant number, since it is smaller than the sum of its proper divisors (5263727880672).

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

2415427799328 is a wasteful number, since it uses less digits than its factorization.

2415427799328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 753 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 2415427799328 in words is "two trillion, four hundred fifteen billion, four hundred twenty-seven million, seven hundred ninety-nine thousand, three hundred twenty-eight".