65796890400 has 216 divisors, whose sum is σ = 232171640064. Its totient is φ = 17534092800.

The previous prime is 65796890371. The next prime is 65796890407. The reversal of 65796890400 is 409869756.

65796890400 is a `hidden beast` number, since 6 + 579 + 68 + 9 + 0 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×65796890400² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (65796890407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18653437 + ... + 18656963.

It is an arithmetic number, because the mean of its divisors is an integer number (1074868704).

Almost surely, 2^65796890400 is an apocalyptic number.

65796890400 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 65796890400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116085820032).

65796890400 is an abundant number, since it is smaller than the sum of its proper divisors (166374749664).

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

65796890400 is a wasteful number, since it uses less digits than its factorization.

65796890400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6144 (or 6128 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 65796890400 in words is "sixty-five billion, seven hundred ninety-six million, eight hundred ninety thousand, four hundred".