6506987520 has 480 divisors, whose sum is σ = 23780977920. Its totient is φ = 1504706560.

The previous prime is 6506987489. The next prime is 6506987537. The reversal of 6506987520 is 257896056.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6506987520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78397399 + ... + 78397481.

It is an arithmetic number, because the mean of its divisors is an integer number (49543704).

Almost surely, 2^6506987520 is an apocalyptic number.

6506987520 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 6506987520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11890488960).

6506987520 is an abundant number, since it is smaller than the sum of its proper divisors (17273990400).

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

6506987520 is a wasteful number, since it uses less digits than its factorization.

6506987520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The square root of 6506987520 is about 80665.9006024231. The cubic root of 6506987520 is about 1866.9240824142.

The spelling of 6506987520 in words is "six billion, five hundred six million, nine hundred eighty-seven thousand, five hundred twenty".