6536724480 has 768 divisors, whose sum is σ = 27480660480. Its totient is φ = 1415577600.

The previous prime is 6536724457. The next prime is 6536724503. The reversal of 6536724480 is 844276356.

6536724480 is a `hidden beast` number, since 6 + 536 + 72 + 4 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6536724457) and next prime (6536724503).

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210862065 + ... + 210862095.

It is an arithmetic number, because the mean of its divisors is an integer number (35782110).

Almost surely, 2^6536724480 is an apocalyptic number.

6536724480 is a gapful number since it is divisible by the number (60) 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 6536724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13740330240).

6536724480 is an abundant number, since it is smaller than the sum of its proper divisors (20943936000).

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

6536724480 is a wasteful number, since it uses less digits than its factorization.

6536724480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 6536724480 is about 80850.0122448970. The cubic root of 6536724480 is about 1869.7637113628.

The spelling of 6536724480 in words is "six billion, five hundred thirty-six million, seven hundred twenty-four thousand, four hundred eighty".