6499419785640 has 768 divisors, whose sum is σ = 24508044288000. Its totient is φ = 1539468840960.

The previous prime is 6499419785587. The next prime is 6499419785669. The reversal of 6499419785640 is 465879149946.

6499419785640 is a `hidden beast` number, since 6 + 4 + 99 + 419 + 7 + 85 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 850816941 + ... + 850824579.

It is an arithmetic number, because the mean of its divisors is an integer number (31911516000).

Almost surely, 2^{6499419785640} is an apocalyptic number.

6499419785640 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 6499419785640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12254022144000).

6499419785640 is an abundant number, since it is smaller than the sum of its proper divisors (18008624502360).

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

6499419785640 is a wasteful number, since it uses less digits than its factorization.

6499419785640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7972 (or 7956 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 6499419785640 in words is "six trillion, four hundred ninety-nine billion, four hundred nineteen million, seven hundred eighty-five thousand, six hundred forty".