65684774400 has 480 divisors, whose sum is σ = 253095110400. Its totient is φ = 15010652160.

The previous prime is 65684774387. The next prime is 65684774423. The reversal of 65684774400 is 447748656.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13168707 + ... + 13173693.

It is an arithmetic number, because the mean of its divisors is an integer number (527281480).

Almost surely, 2^65684774400 is an apocalyptic number.

65684774400 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 65684774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126547555200).

65684774400 is an abundant number, since it is smaller than the sum of its proper divisors (187410336000).

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

65684774400 is an equidigital number, since it uses as much as digits as its factorization.

65684774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5039 (or 5004 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 51.

The spelling of 65684774400 in words is "sixty-five billion, six hundred eighty-four million, seven hundred seventy-four thousand, four hundred".