65974325760 has 480 divisors, whose sum is σ = 263266578432. Its totient is φ = 14956462080.

The previous prime is 65974325759. The next prime is 65974325761. The reversal of 65974325760 is 6752347956.

65974325760 is a `hidden beast` number, since 6 + 597 + 43 + 2 + 5 + 7 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (65974325759) and next prime (65974325761).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×65974325760² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 65974325697 and 65974325706.

It is not an unprimeable number, because it can be changed into a prime (65974325761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20480950 + ... + 20484170.

Almost surely, 2^65974325760 is an apocalyptic number.

65974325760 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 65974325760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131633289216).

65974325760 is an abundant number, since it is smaller than the sum of its proper divisors (197292252672).

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

65974325760 is a wasteful number, since it uses less digits than its factorization.

65974325760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3384 (or 3365 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 65974325760 in words is "sixty-five billion, nine hundred seventy-four million, three hundred twenty-five thousand, seven hundred sixty".