5625763440 has 320 divisors, whose sum is σ = 20025004032. Its totient is φ = 1293926400.

The previous prime is 5625763439. The next prime is 5625763459. The reversal of 5625763440 is 443675265.

It is a junction number, because it is equal to n+sod(n) for n = 5625763392 and 5625763401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4336872 + ... + 4338168.

Almost surely, 2^5625763440 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 5625763440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10012502016).

5625763440 is an abundant number, since it is smaller than the sum of its proper divisors (14399240592).

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

5625763440 is a wasteful number, since it uses less digits than its factorization.

5625763440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The square root of 5625763440 is about 75005.0894273182. The cubic root of 5625763440 is about 1778.5271071127.

The spelling of 5625763440 in words is "five billion, six hundred twenty-five million, seven hundred sixty-three thousand, four hundred forty".