65963938037760 has 2880 divisors, whose sum is σ = 290191346565120. Its totient is φ = 13514802462720.

The previous prime is 65963938037707. The next prime is 65963938037831. The reversal of 65963938037760 is 6773083936956.

65963938037760 is a `hidden beast` number, since 6 + 5 + 96 + 3 + 93 + 80 + 377 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×65963938037760² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 214866247527 + ... + 214866247833.

It is an arithmetic number, because the mean of its divisors is an integer number (100760884224).

Almost surely, 2^{65963938037760} is an apocalyptic number.

65963938037760 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 65963938037760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145095673282560).

65963938037760 is an abundant number, since it is smaller than the sum of its proper divisors (224227408527360).

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

65963938037760 is a wasteful number, since it uses less digits than its factorization.

65963938037760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 925888320, while the sum is 72.

The spelling of 65963938037760 in words is "sixty-five trillion, nine hundred sixty-three billion, nine hundred thirty-eight million, thirty-seven thousand, seven hundred sixty".