65741856000 has 288 divisors, whose sum is σ = 231212112768. Its totient is φ = 16499507200.

The previous prime is 65741855989. The next prime is 65741856001. The reversal of 65741856000 is 65814756.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65741856001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1611859 + ... + 1652141.

It is an arithmetic number, because the mean of its divisors is an integer number (802819836).

Almost surely, 2^65741856000 is an apocalyptic number.

65741856000 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 65741856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115606056384).

65741856000 is an abundant number, since it is smaller than the sum of its proper divisors (165470256768).

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

65741856000 is a wasteful number, since it uses less digits than its factorization.

65741856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40334 (or 40310 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 65741856000 in words is "sixty-five billion, seven hundred forty-one million, eight hundred fifty-six thousand".