65415299328 has 180 divisors, whose sum is σ = 206531616060. Its totient is φ = 20522336256.

The previous prime is 65415299267. The next prime is 65415299359. The reversal of 65415299328 is 82399251456.

65415299328 is a `hidden beast` number, since 6 + 5 + 4 + 1 + 529 + 93 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34399862784 + 31015436544 = 185472^2 + 176112^2 .

It is a super-2 number, since 2×65415299328² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 259728 + ... + 445296.

It is an arithmetic number, because the mean of its divisors is an integer number (1147397867).

Almost surely, 2^65415299328 is an apocalyptic number.

65415299328 is a gapful number since it is divisible by the number (68) 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 65415299328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103265808030).

65415299328 is an abundant number, since it is smaller than the sum of its proper divisors (141116316732).

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

65415299328 is a wasteful number, since it uses less digits than its factorization.

65415299328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185614 (or 185591 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 65415299328 in words is "sixty-five billion, four hundred fifteen million, two hundred ninety-nine thousand, three hundred twenty-eight".