5632619520 has 704 divisors, whose sum is σ = 21775101696. Its totient is φ = 1226833920.

The previous prime is 5632619491. The next prime is 5632619549. The reversal of 5632619520 is 259162365.

It is an interprime number because it is at equal distance from previous prime (5632619491) and next prime (5632619549).

It is a tau number, because it is divible by the number of its divisors (704).

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, 106275814 + ... + 106275866.

Almost surely, 2^5632619520 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 5632619520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10887550848).

5632619520 is an abundant number, since it is smaller than the sum of its proper divisors (16142482176).

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

5632619520 is a wasteful number, since it uses less digits than its factorization.

5632619520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 5632619520 is about 75050.7796095417. The cubic root of 5632619520 is about 1779.2493068129.

The spelling of 5632619520 in words is "five billion, six hundred thirty-two million, six hundred nineteen thousand, five hundred twenty".