65962728000 has 896 divisors, whose sum is σ = 264054336000. Its totient is φ = 16120166400.

The previous prime is 65962727921. The next prime is 65962728011. The reversal of 65962728000 is 82726956.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 474551931 + ... + 474552069.

It is an arithmetic number, because the mean of its divisors is an integer number (294703500).

Almost surely, 2^65962728000 is an apocalyptic number.

65962728000 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 65962728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132027168000).

65962728000 is an abundant number, since it is smaller than the sum of its proper divisors (198091608000).

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

65962728000 is a wasteful number, since it uses less digits than its factorization.

65962728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 65962728000 in words is "sixty-five billion, nine hundred sixty-two million, seven hundred twenty-eight thousand".