6495187046400 has 2496 divisors, whose sum is σ = 27424443056640. Its totient is φ = 1513535569920.

The previous prime is 6495187046399. The next prime is 6495187046449. The reversal of 6495187046400 is 46407815946.

6495187046400 is a `hidden beast` number, since 6 + 49 + 518 + 7 + 0 + 46 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66960691152 + ... + 66960691248.

Almost surely, 2^{6495187046400} is an apocalyptic number.

6495187046400 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 6495187046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13712221528320).

6495187046400 is an abundant number, since it is smaller than the sum of its proper divisors (20929256010240).

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

6495187046400 is an equidigital number, since it uses as much as digits as its factorization.

6495187046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 6495187046400 in words is "six trillion, four hundred ninety-five billion, one hundred eighty-seven million, forty-six thousand, four hundred".