64384879104 has 960 divisors, whose sum is σ = 245378580480. Its totient is φ = 16303472640.

The previous prime is 64384879099. The next prime is 64384879109. The reversal of 64384879104 is 40197848346.

It is an interprime number because it is at equal distance from previous prime (64384879099) and next prime (64384879109).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (64384879109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 506967489 + ... + 506967615.

It is an arithmetic number, because the mean of its divisors is an integer number (255602688).

Almost surely, 2^64384879104 is an apocalyptic number.

64384879104 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 64384879104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122689290240).

64384879104 is an abundant number, since it is smaller than the sum of its proper divisors (180993701376).

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

64384879104 is a wasteful number, since it uses less digits than its factorization.

64384879104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 64384879104 in words is "sixty-four billion, three hundred eighty-four million, eight hundred seventy-nine thousand, one hundred four".