6495914880000 has 3960 divisors, whose sum is σ = 31717477183392. Its totient is φ = 1289945088000.

The previous prime is 6495914879963. The next prime is 6495914880061. The reversal of 6495914880000 is 884195946.

6495914880000 is a `hidden beast` number, since 6 + 4 + 9 + 591 + 48 + 8 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 382112639992 + ... + 382112640008.

Almost surely, 2^{6495914880000} is an apocalyptic number.

6495914880000 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 6495914880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15858738591696).

6495914880000 is an abundant number, since it is smaller than the sum of its proper divisors (25221562303392).

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

6495914880000 is an frugal number, since it uses more digits than its factorization.

6495914880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 6495914880000 in words is "six trillion, four hundred ninety-five billion, nine hundred fourteen million, eight hundred eighty thousand".