5467945875840 has 576 divisors, whose sum is σ = 22777715010960. Its totient is φ = 1249814458368.

The previous prime is 5467945875839. The next prime is 5467945875907. The reversal of 5467945875840 is 485785497645.

5467945875840 is a `hidden beast` number, since 5 + 4 + 67 + 9 + 458 + 75 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×5467945875840² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7261714 + ... + 7979246.

Almost surely, 2^{5467945875840} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5467945875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11388857505480).

5467945875840 is an abundant number, since it is smaller than the sum of its proper divisors (17309769135120).

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

5467945875840 is an equidigital number, since it uses as much as digits as its factorization.

5467945875840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717581 (or 717550 counting only the distinct ones).

The product of its (nonzero) digits is 1354752000, while the sum is 72.

The spelling of 5467945875840 in words is "five trillion, four hundred sixty-seven billion, nine hundred forty-five million, eight hundred seventy-five thousand, eight hundred forty".