65933965440 has 256 divisors, whose sum is σ = 266876064000. Its totient is φ = 15070593024.

The previous prime is 65933965423. The next prime is 65933965453. The reversal of 65933965440 is 4456933956.

65933965440 is a `hidden beast` number, since 6 + 5 + 9 + 3 + 3 + 96 + 544 + 0 = 666.

65933965440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×65933965440² (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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151585 + ... + 393504.

It is an arithmetic number, because the mean of its divisors is an integer number (1042484625).

Almost surely, 2^65933965440 is an apocalyptic number.

65933965440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

65933965440 is an abundant number, since it is smaller than the sum of its proper divisors (200942098560).

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

65933965440 is a wasteful number, since it uses less digits than its factorization.

65933965440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545124 (or 545106 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 54.

The spelling of 65933965440 in words is "sixty-five billion, nine hundred thirty-three million, nine hundred sixty-five thousand, four hundred forty".