65720139264 has 480 divisors, whose sum is σ = 213950056320. Its totient is φ = 20020027392.

The previous prime is 65720139253. The next prime is 65720139341. The reversal of 65720139264 is 46293102756.

65720139264 is a `hidden beast` number, since 6 + 57 + 201 + 392 + 6 + 4 = 666.

65720139264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 289515919 + ... + 289516145.

It is an arithmetic number, because the mean of its divisors is an integer number (445729284).

Almost surely, 2^65720139264 is an apocalyptic number.

65720139264 is a gapful number since it is divisible by the number (64) 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 65720139264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106975028160).

65720139264 is an abundant number, since it is smaller than the sum of its proper divisors (148229917056).

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

65720139264 is a wasteful number, since it uses less digits than its factorization.

65720139264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 65720139264 in words is "sixty-five billion, seven hundred twenty million, one hundred thirty-nine thousand, two hundred sixty-four".