5626461520 has 80 divisors (see below), whose sum is σ = 13268436480. Its totient is φ = 2218632192.

The previous prime is 5626461497. The next prime is 5626461523. The reversal of 5626461520 is 251646265.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 5626461520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5626461523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1967932 + ... + 1970788.

It is an arithmetic number, because the mean of its divisors is an integer number (165855456).

Almost surely, 2^5626461520 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 5626461520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6634218240).

5626461520 is an abundant number, since it is smaller than the sum of its proper divisors (7641974960).

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

5626461520 is a wasteful number, since it uses less digits than its factorization.

5626461520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3212 (or 3206 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 5626461520 is about 75009.7428338479. The cubic root of 5626461520 is about 1778.6006676683.

The spelling of 5626461520 in words is "five billion, six hundred twenty-six million, four hundred sixty-one thousand, five hundred twenty".