64314346824 has 384 divisors, whose sum is σ = 229896576000. Its totient is φ = 15760023552.

The previous prime is 64314346787. The next prime is 64314346883. The reversal of 64314346824 is 42864341346.

64314346824 is a `hidden beast` number, since 6 + 43 + 143 + 468 + 2 + 4 = 666.

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 64314346824.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8795682 + ... + 8802990.

It is an arithmetic number, because the mean of its divisors is an integer number (598689000).

Almost surely, 2^64314346824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64314346824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114948288000).

64314346824 is an abundant number, since it is smaller than the sum of its proper divisors (165582229176).

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

64314346824 is a wasteful number, since it uses less digits than its factorization.

64314346824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7437 (or 7430 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 45.

The spelling of 64314346824 in words is "sixty-four billion, three hundred fourteen million, three hundred forty-six thousand, eight hundred twenty-four".