6501264960 has 224 divisors, whose sum is σ = 21949257600. Its totient is φ = 1625702400.

The previous prime is 6501264953. The next prime is 6501265003. The reversal of 6501264960 is 694621056.

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, 1840476 + ... + 1844004.

Almost surely, 2^6501264960 is an apocalyptic number.

6501264960 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 6501264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10974628800).

6501264960 is an abundant number, since it is smaller than the sum of its proper divisors (15447992640).

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

6501264960 is a wasteful number, since it uses less digits than its factorization.

6501264960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3669 (or 3659 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 6501264960 is about 80630.4220502411. The cubic root of 6501264960 is about 1866.3766340770.

The spelling of 6501264960 in words is "six billion, five hundred one million, two hundred sixty-four thousand, nine hundred sixty".