5367346467840 has 3520 divisors, whose sum is σ = 24774723747840. Its totient is φ = 1083553873920.

The previous prime is 5367346467751. The next prime is 5367346467841. The reversal of 5367346467840 is 487646437635.

5367346467840 is a `hidden beast` number, since 5 + 3 + 6 + 73 + 464 + 67 + 8 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5367346467841) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 73525294044 + ... + 73525294116.

It is an arithmetic number, because the mean of its divisors is an integer number (7038273792).

Almost surely, 2^{5367346467840} 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 5367346467840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12387361873920).

5367346467840 is an abundant number, since it is smaller than the sum of its proper divisors (19407377280000).

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

5367346467840 is a wasteful number, since it uses less digits than its factorization.

5367346467840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 63.

The spelling of 5367346467840 in words is "five trillion, three hundred sixty-seven billion, three hundred forty-six million, four hundred sixty-seven thousand, eight hundred forty".