64207051344 has 240 divisors, whose sum is σ = 193103414400. Its totient is φ = 19863512064.

The previous prime is 64207051319. The next prime is 64207051351. The reversal of 64207051344 is 44315070246.

64207051344 is a `hidden beast` number, since 64 + 207 + 0 + 51 + 344 = 666.

64207051344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 64207051299 and 64207051308.

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, 86883327 + ... + 86884065.

It is an arithmetic number, because the mean of its divisors is an integer number (804597560).

Almost surely, 2^64207051344 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 64207051344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96551707200).

64207051344 is an abundant number, since it is smaller than the sum of its proper divisors (128896363056).

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

64207051344 is a wasteful number, since it uses less digits than its factorization.

64207051344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 64207051344 in words is "sixty-four billion, two hundred seven million, fifty-one thousand, three hundred forty-four".