64979478144 has 384 divisors, whose sum is σ = 222029683200. Its totient is φ = 17853530112.

The previous prime is 64979478139. The next prime is 64979478149. The reversal of 64979478144 is 44187497946.

64979478144 is a `hidden beast` number, since 64 + 97 + 9 + 478 + 14 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (64979478139) and next prime (64979478149).

It is a tau number, because it is divible by the number of its divisors (384).

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

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

It is not an unprimeable number, because it can be changed into a prime (64979478149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26553529 + ... + 26555975.

It is an arithmetic number, because the mean of its divisors is an integer number (578202300).

Almost surely, 2^64979478144 is an apocalyptic number.

64979478144 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 64979478144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111014841600).

64979478144 is an abundant number, since it is smaller than the sum of its proper divisors (157050205056).

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

64979478144 is a wasteful number, since it uses less digits than its factorization.

64979478144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2600 (or 2585 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 64979478144 in words is "sixty-four billion, nine hundred seventy-nine million, four hundred seventy-eight thousand, one hundred forty-four".