65839628400 has 720 divisors, whose sum is σ = 274852765440. Its totient is φ = 13154918400.

The previous prime is 65839628383. The next prime is 65839628461. The reversal of 65839628400 is 482693856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26971180 + ... + 26973620.

It is an arithmetic number, because the mean of its divisors is an integer number (381739952).

Almost surely, 2^65839628400 is an apocalyptic number.

65839628400 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 65839628400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137426382720).

65839628400 is an abundant number, since it is smaller than the sum of its proper divisors (209013137040).

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

65839628400 is a wasteful number, since it uses less digits than its factorization.

65839628400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2514 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 65839628400 in words is "sixty-five billion, eight hundred thirty-nine million, six hundred twenty-eight thousand, four hundred".