6501976320 has 576 divisors, whose sum is σ = 25901568000. Its totient is φ = 1356300288.

The previous prime is 6501976309. The next prime is 6501976343. The reversal of 6501976320 is 236791056.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14810661 + ... + 14811099.

It is an arithmetic number, because the mean of its divisors is an integer number (44968000).

Almost surely, 2^6501976320 is an apocalyptic number.

6501976320 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 6501976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12950784000).

6501976320 is an abundant number, since it is smaller than the sum of its proper divisors (19399591680).

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

6501976320 is a wasteful number, since it uses less digits than its factorization.

6501976320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 6501976320 is about 80634.8331678066. The cubic root of 6501976320 is about 1866.4447037665. Note that the first 3 decimals are identical.

The spelling of 6501976320 in words is "six billion, five hundred one million, nine hundred seventy-six thousand, three hundred twenty".