65964848040 has 448 divisors, whose sum is σ = 273893558400. Its totient is φ = 13917298176.

The previous prime is 65964848039. The next prime is 65964848051. The reversal of 65964848040 is 4084846956.

65964848040 is a `hidden beast` number, since 6 + 596 + 4 + 8 + 4 + 8 + 0 + 40 = 666.

It is a super-2 number, since 2×65964848040² (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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2641131 + ... + 2665989.

It is an arithmetic number, because the mean of its divisors is an integer number (611369550).

Almost surely, 2^65964848040 is an apocalyptic number.

65964848040 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 65964848040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136946779200).

65964848040 is an abundant number, since it is smaller than the sum of its proper divisors (207928710360).

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

65964848040 is a wasteful number, since it uses less digits than its factorization.

65964848040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24908 (or 24889 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 65964848040 in words is "sixty-five billion, nine hundred sixty-four million, eight hundred forty-eight thousand, forty".