6323163416640 has 2016 divisors, whose sum is σ = 27753283584000. Its totient is φ = 1312429547520.

The previous prime is 6323163416617. The next prime is 6323163416653. The reversal of 6323163416640 is 466143613236.

6323163416640 is a `hidden beast` number, since 6 + 3 + 2 + 3 + 1 + 634 + 1 + 6 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10556199061 + ... + 10556199659.

Almost surely, 2^{6323163416640} is an apocalyptic number.

6323163416640 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 6323163416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13876641792000).

6323163416640 is an abundant number, since it is smaller than the sum of its proper divisors (21430120167360).

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

6323163416640 is a wasteful number, since it uses less digits than its factorization.

6323163416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 6323163416640 in words is "six trillion, three hundred twenty-three billion, one hundred sixty-three million, four hundred sixteen thousand, six hundred forty".