6496848960 has 224 divisors, whose sum is σ = 23683691520. Its totient is φ = 1478105088.

The previous prime is 6496848949. The next prime is 6496849001. The reversal of 6496848960 is 698486946.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×6496848960³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 6496848894 and 6496848903.

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, 1523311 + ... + 1527569.

Almost surely, 2^6496848960 is an apocalyptic number.

6496848960 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 6496848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11841845760).

6496848960 is an abundant number, since it is smaller than the sum of its proper divisors (17186842560).

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

6496848960 is a wasteful number, since it uses less digits than its factorization.

6496848960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4513 (or 4503 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 60.

The square root of 6496848960 is about 80603.0331935468. The cubic root of 6496848960 is about 1865.9539580754.

The spelling of 6496848960 in words is "six billion, four hundred ninety-six million, eight hundred forty-eight thousand, nine hundred sixty".