6418363976640 has 784 divisors, whose sum is σ = 28569569195520. Its totient is φ = 1333682288640.

The previous prime is 6418363976623. The next prime is 6418363976693. The reversal of 6418363976640 is 466793638146.

6418363976640 is a `hidden beast` number, since 6 + 4 + 183 + 6 + 397 + 6 + 64 + 0 = 666.

It is a super-2 number, since 2×6418363976640² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 17783901 + ... + 18141219.

Almost surely, 2^{6418363976640} is an apocalyptic number.

6418363976640 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 6418363976640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14284784597760).

6418363976640 is an abundant number, since it is smaller than the sum of its proper divisors (22151205218880).

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

6418363976640 is a wasteful number, since it uses less digits than its factorization.

6418363976640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357372 (or 357347 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 6418363976640 in words is "six trillion, four hundred eighteen billion, three hundred sixty-three million, nine hundred seventy-six thousand, six hundred forty".