64319846976 has 672 divisors, whose sum is σ = 244261355520. Its totient is φ = 15676416000.

The previous prime is 64319846971. The next prime is 64319846999. The reversal of 64319846976 is 67964891346.

64319846976 is a `hidden beast` number, since 6 + 431 + 98 + 46 + 9 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 (64319846971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 107021076 + ... + 107021676.

It is an arithmetic number, because the mean of its divisors is an integer number (363484160).

Almost surely, 2^64319846976 is an apocalyptic number.

64319846976 is a gapful number since it is divisible by the number (66) 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 64319846976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122130677760).

64319846976 is an abundant number, since it is smaller than the sum of its proper divisors (179941508544).

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

64319846976 is a wasteful number, since it uses less digits than its factorization.

64319846976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 770 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The spelling of 64319846976 in words is "sixty-four billion, three hundred nineteen million, eight hundred forty-six thousand, nine hundred seventy-six".