6495477955200 has 1536 divisors, whose sum is σ = 27122118240000. Its totient is φ = 1513893888000.

The previous prime is 6495477955193. The next prime is 6495477955217. The reversal of 6495477955200 is 25597745946.

6495477955200 is a `hidden beast` number, since 6 + 4 + 9 + 5 + 4 + 7 + 79 + 552 + 0 + 0 = 666.

It is a super-3 number, since 3×6495477955200³ (a number of 39 digits) contains 333 as substring.

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, 3606594300 + ... + 3606596100.

Almost surely, 2^{6495477955200} is an apocalyptic number.

6495477955200 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 6495477955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13561059120000).

6495477955200 is an abundant number, since it is smaller than the sum of its proper divisors (20626640284800).

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

6495477955200 is a wasteful number, since it uses less digits than its factorization.

6495477955200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 95256000, while the sum is 63.

The spelling of 6495477955200 in words is "six trillion, four hundred ninety-five billion, four hundred seventy-seven million, nine hundred fifty-five thousand, two hundred".