65676037680 has 480 divisors, whose sum is σ = 250461469440. Its totient is φ = 15861795840.

The previous prime is 65676037667. The next prime is 65676037709. The reversal of 65676037680 is 8673067656.

65676037680 is a `hidden beast` number, since 6 + 567 + 6 + 0 + 3 + 76 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89598594 + ... + 89599326.

It is an arithmetic number, because the mean of its divisors is an integer number (521794728).

Almost surely, 2^65676037680 is an apocalyptic number.

65676037680 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 65676037680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125230734720).

65676037680 is an abundant number, since it is smaller than the sum of its proper divisors (184785431760).

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

65676037680 is a wasteful number, since it uses less digits than its factorization.

65676037680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 65676037680 in words is "sixty-five billion, six hundred seventy-six million, thirty-seven thousand, six hundred eighty".