6540812928 has 384 divisors, whose sum is σ = 21623347200. Its totient is φ = 1881169920.

The previous prime is 6540812923. The next prime is 6540812959. The reversal of 6540812928 is 8292180456.

6540812928 is a `hidden beast` number, since 6 + 540 + 8 + 12 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (6540812923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36136998 + ... + 36137178.

It is an arithmetic number, because the mean of its divisors is an integer number (56310800).

Almost surely, 2^6540812928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6540812928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10811673600).

6540812928 is an abundant number, since it is smaller than the sum of its proper divisors (15082534272).

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

6540812928 is a wasteful number, since it uses less digits than its factorization.

6540812928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 6540812928 is about 80875.2924446026. The cubic root of 6540812928 is about 1870.1534498078.

The spelling of 6540812928 in words is "six billion, five hundred forty million, eight hundred twelve thousand, nine hundred twenty-eight".