5464567430064 has 240 divisors, whose sum is σ = 15791551776000. Its totient is φ = 1763282972160.

The previous prime is 5464567430011. The next prime is 5464567430089. The reversal of 5464567430064 is 4600347654645.

It is a happy number.

5464567430064 is a `hidden beast` number, since 5 + 46 + 4 + 567 + 4 + 30 + 0 + 6 + 4 = 666.

It is a super-2 number, since 2×5464567430064² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191731687 + ... + 191760185.

It is an arithmetic number, because the mean of its divisors is an integer number (65798132400).

Almost surely, 2^{5464567430064} 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 5464567430064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7895775888000).

5464567430064 is an abundant number, since it is smaller than the sum of its proper divisors (10326984345936).

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

5464567430064 is a wasteful number, since it uses less digits than its factorization.

5464567430064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28920 (or 28911 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 54.

The spelling of 5464567430064 in words is "five trillion, four hundred sixty-four billion, five hundred sixty-seven million, four hundred thirty thousand, sixty-four".