64013467440384 has 432 divisors, whose sum is σ = 231439238319744. Its totient is φ = 16530757632000.

The previous prime is 64013467440341. The next prime is 64013467440413. The reversal of 64013467440384 is 48304476431046.

64013467440384 is a `hidden beast` number, since 6 + 4 + 0 + 134 + 67 + 440 + 3 + 8 + 4 = 666.

It is a super-2 number, since 2×64013467440384² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 64013467440384.

It is a congruent number.

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, 29648734 + ... + 31734434.

It is an arithmetic number, because the mean of its divisors is an integer number (535738977592).

Almost surely, 2^{64013467440384} is an apocalyptic number.

64013467440384 is a gapful number since it is divisible by the number (64) 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 64013467440384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115719619159872).

64013467440384 is an abundant number, since it is smaller than the sum of its proper divisors (167425770879360).

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

64013467440384 is a wasteful number, since it uses less digits than its factorization.

64013467440384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2085914 (or 2085897 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 54.

The spelling of 64013467440384 in words is "sixty-four trillion, thirteen billion, four hundred sixty-seven million, four hundred forty thousand, three hundred eighty-four".