65878363200 has 336 divisors, whose sum is σ = 234176539520. Its totient is φ = 16213616640.

The previous prime is 65878363183. The next prime is 65878363207. The reversal of 65878363200 is 236387856.

It is a super-2 number, since 2×65878363200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 65878363200.

It is not an unprimeable number, because it can be changed into a prime (65878363207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10542477 + ... + 10548723.

Almost surely, 2^65878363200 is an apocalyptic number.

65878363200 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 65878363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117088269760).

65878363200 is an abundant number, since it is smaller than the sum of its proper divisors (168298176320).

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

65878363200 is a wasteful number, since it uses less digits than its factorization.

65878363200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6311 (or 6270 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 65878363200 in words is "sixty-five billion, eight hundred seventy-eight million, three hundred sixty-three thousand, two hundred".