5630025744 has 320 divisors, whose sum is σ = 19602554880. Its totient is φ = 1512276480.

The previous prime is 5630025701. The next prime is 5630025761. The reversal of 5630025744 is 4475200365.

5630025744 is a `hidden beast` number, since 56 + 30 + 0 + 2 + 574 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5630025699 and 5630025708.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4242009 + ... + 4243335.

It is an arithmetic number, because the mean of its divisors is an integer number (61257984).

Almost surely, 2^5630025744 is an apocalyptic number.

5630025744 is a gapful number since it is divisible by the number (54) 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 5630025744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9801277440).

5630025744 is an abundant number, since it is smaller than the sum of its proper divisors (13972529136).

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

5630025744 is a wasteful number, since it uses less digits than its factorization.

5630025744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 5630025744 is about 75033.4974794591. The cubic root of 5630025744 is about 1778.9761548806.

The spelling of 5630025744 in words is "five billion, six hundred thirty million, twenty-five thousand, seven hundred forty-four".