6501464161920 has 768 divisors, whose sum is σ = 28845830764800. Its totient is φ = 1371735171072.

The previous prime is 6501464161901. The next prime is 6501464161921. The reversal of 6501464161920 is 291614641056.

6501464161920 is a `hidden beast` number, since 6 + 5 + 0 + 1 + 4 + 6 + 4 + 1 + 619 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6501464161921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10712037 + ... + 11302683.

It is an arithmetic number, because the mean of its divisors is an integer number (37559675475).

Almost surely, 2^{6501464161920} is an apocalyptic number.

6501464161920 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 6501464161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14422915382400).

6501464161920 is an abundant number, since it is smaller than the sum of its proper divisors (22344366602880).

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

6501464161920 is a wasteful number, since it uses less digits than its factorization.

6501464161920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590702 (or 590677 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 6501464161920 in words is "six trillion, five hundred one billion, four hundred sixty-four million, one hundred sixty-one thousand, nine hundred twenty".