64014000768 has 96 divisors (see below), whose sum is σ = 184443629760. Its totient is φ = 21310585344.

The previous prime is 64014000767. The next prime is 64014000797. The reversal of 64014000768 is 86700041046.

64014000768 is a `hidden beast` number, since 640 + 1 + 4 + 0 + 0 + 0 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (64014000763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 871321 + ... + 941927.

It is an arithmetic number, because the mean of its divisors is an integer number (1921287810).

Almost surely, 2^64014000768 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 64014000768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92221814880).

64014000768 is an abundant number, since it is smaller than the sum of its proper divisors (120429628992).

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

64014000768 is a wasteful number, since it uses less digits than its factorization.

64014000768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71414 (or 71399 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 64014000768 in words is "sixty-four billion, fourteen million, seven hundred sixty-eight", and thus it is an aban number.