65973600000 has 1944 divisors, whose sum is σ = 319466334096. Its totient is φ = 12902400000.

The previous prime is 65973599987. The next prime is 65973600013. The reversal of 65973600000 is 637956.

It is a happy number.

65973600000 is a `hidden beast` number, since 6 + 597 + 3 + 60 + 0 + 0 + 0 + 0 = 666.

65973600000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (65973599987) and next prime (65973600013).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3880799992 + ... + 3880800008.

It is an arithmetic number, because the mean of its divisors is an integer number (164334534).

Almost surely, 2^65973600000 is an apocalyptic number.

65973600000 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 65973600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159733167048).

65973600000 is an abundant number, since it is smaller than the sum of its proper divisors (253492734096).

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

65973600000 is a wasteful number, since it uses less digits than its factorization.

65973600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 65973600000 in words is "sixty-five billion, nine hundred seventy-three million, six hundred thousand".