6506196480000 has 3120 divisors, whose sum is σ = 29929548353760. Its totient is φ = 1387266048000.

The previous prime is 6506196479911. The next prime is 6506196480001. The reversal of 6506196480000 is 846916056.

6506196480000 is a `hidden beast` number, since 6 + 506 + 1 + 9 + 64 + 80 + 0 + 0 + 0 = 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 (6506196480001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 57576959944 + ... + 57576960056.

Almost surely, 2^{6506196480000} is an apocalyptic number.

6506196480000 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 6506196480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14964774176880).

6506196480000 is an abundant number, since it is smaller than the sum of its proper divisors (23423351873760).

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

6506196480000 is a wasteful number, since it uses less digits than its factorization.

6506196480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 147 counting only the distinct ones).

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

The spelling of 6506196480000 in words is "six trillion, five hundred six billion, one hundred ninety-six million, four hundred eighty thousand".