65972420800 has 336 divisors, whose sum is σ = 195892899552. Its totient is φ = 21543321600.

The previous prime is 65972420791. The next prime is 65972420807. The reversal of 65972420800 is 802427956.

It is not an unprimeable number, because it can be changed into a prime (65972420807) 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, 8461704 + ... + 8469496.

It is an arithmetic number, because the mean of its divisors is an integer number (583014582).

Almost surely, 2^65972420800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65972420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97946449776).

65972420800 is an abundant number, since it is smaller than the sum of its proper divisors (129920478752).

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

65972420800 is a wasteful number, since it uses less digits than its factorization.

65972420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7876 (or 7861 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 65972420800 in words is "sixty-five billion, nine hundred seventy-two million, four hundred twenty thousand, eight hundred".