6419745793440 has 192 divisors, whose sum is σ = 25678983294720. Its totient is φ = 1467370460160.

The previous prime is 6419745793397. The next prime is 6419745793453. The reversal of 6419745793440 is 443975479146.

6419745793440 is a `hidden beast` number, since 6 + 4 + 1 + 97 + 457 + 93 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106116351 + ... + 106176830.

It is an arithmetic number, because the mean of its divisors is an integer number (133744704660).

Almost surely, 2^{6419745793440} is an apocalyptic number.

6419745793440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6419745793440 is an abundant number, since it is smaller than the sum of its proper divisors (19259237501280).

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

6419745793440 is a wasteful number, since it uses less digits than its factorization.

6419745793440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212293212 (or 212293198 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 6419745793440 in words is "six trillion, four hundred nineteen billion, seven hundred forty-five million, seven hundred ninety-three thousand, four hundred forty".