64716672384 has 960 divisors, whose sum is σ = 248192683200. Its totient is φ = 16582164480.

The previous prime is 64716672341. The next prime is 64716672389. The reversal of 64716672384 is 48327661746.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 64716672384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64716672389) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 270780937 + ... + 270781175.

It is an arithmetic number, because the mean of its divisors is an integer number (258534045).

Almost surely, 2^64716672384 is an apocalyptic number.

64716672384 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 64716672384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124096341600).

64716672384 is an abundant number, since it is smaller than the sum of its proper divisors (183476010816).

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

64716672384 is a wasteful number, since it uses less digits than its factorization.

64716672384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 305 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The spelling of 64716672384 in words is "sixty-four billion, seven hundred sixteen million, six hundred seventy-two thousand, three hundred eighty-four".