2463378825600 has 3072 divisors, whose sum is σ = 12431547187200. Its totient is φ = 460328140800.

The previous prime is 2463378825563. The next prime is 2463378825601. The reversal of 2463378825600 is 65288733642.

2463378825600 is a `hidden beast` number, since 2 + 4 + 6 + 3 + 3 + 7 + 8 + 8 + 25 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2463378825601) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2601244327 + ... + 2601245273.

It is an arithmetic number, because the mean of its divisors is an integer number (4046727600).

Almost surely, 2^{2463378825600} is an apocalyptic number.

2463378825600 is a gapful number since it is divisible by the number (20) 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 2463378825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6215773593600).

2463378825600 is an abundant number, since it is smaller than the sum of its proper divisors (9968168361600).

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

2463378825600 is a wasteful number, since it uses less digits than its factorization.

2463378825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 2463378825600 in words is "two trillion, four hundred sixty-three billion, three hundred seventy-eight million, eight hundred twenty-five thousand, six hundred".