65978641069920 has 1152 divisors, whose sum is σ = 245509566382080. Its totient is φ = 16734014208000.

The previous prime is 65978641069907. The next prime is 65978641069933. The reversal of 65978641069920 is 2996014687956.

65978641069920 is a `hidden beast` number, since 6 + 59 + 7 + 86 + 410 + 69 + 9 + 20 = 666.

65978641069920 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 (65978641069907) and next prime (65978641069933).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 53597595705 + ... + 53597596935.

It is an arithmetic number, because the mean of its divisors is an integer number (213115943040).

Almost surely, 2^{65978641069920} is an apocalyptic number.

65978641069920 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 65978641069920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122754783191040).

65978641069920 is an abundant number, since it is smaller than the sum of its proper divisors (179530925312160).

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

65978641069920 is an equidigital number, since it uses as much as digits as its factorization.

65978641069920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 65978641069920 in words is "sixty-five trillion, nine hundred seventy-eight billion, six hundred forty-one million, sixty-nine thousand, nine hundred twenty".