65279934720 has 2880 divisors, whose sum is σ = 341045945856. Its totient is φ = 11466178560.

The previous prime is 65279934701. The next prime is 65279934721. The reversal of 65279934720 is 2743997256.

65279934720 is a `hidden beast` number, since 6 + 5 + 279 + 9 + 347 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×65279934720² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (65279934721) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1764322542 + ... + 1764322578.

Almost surely, 2^65279934720 is an apocalyptic number.

65279934720 is a gapful number since it is divisible by the number (60) 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 65279934720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170522972928).

65279934720 is an abundant number, since it is smaller than the sum of its proper divisors (275766011136).

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

65279934720 is a wasteful number, since it uses less digits than its factorization.

65279934720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

It can be divided in two parts, 65279 and 934720, that added together give a palindrome (999999).

The spelling of 65279934720 in words is "sixty-five billion, two hundred seventy-nine million, nine hundred thirty-four thousand, seven hundred twenty".