64993149312 has 384 divisors, whose sum is σ = 215139836160. Its totient is φ = 17021362176.

The previous prime is 64993149307. The next prime is 64993149343. The reversal of 64993149312 is 21394139946.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78588643 + ... + 78589469.

It is an arithmetic number, because the mean of its divisors is an integer number (560259990).

Almost surely, 2^64993149312 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 64993149312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107569918080).

64993149312 is an abundant number, since it is smaller than the sum of its proper divisors (150146686848).

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

64993149312 is a wasteful number, since it uses less digits than its factorization.

64993149312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1025 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 51.

The spelling of 64993149312 in words is "sixty-four billion, nine hundred ninety-three million, one hundred forty-nine thousand, three hundred twelve".