67560964416 has 336 divisors, whose sum is σ = 216746449920. Its totient is φ = 19945128960.

The previous prime is 67560964411. The next prime is 67560964421. The reversal of 67560964416 is 61446906576.

67560964416 is a `hidden beast` number, since 6 + 7 + 560 + 9 + 64 + 4 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (67560964411) and next prime (67560964421).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67560964411) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 91421775 + ... + 91422513.

It is an arithmetic number, because the mean of its divisors is an integer number (645078720).

Almost surely, 2^67560964416 is an apocalyptic number.

67560964416 is a gapful number since it is divisible by the number (66) 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 67560964416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108373224960).

67560964416 is an abundant number, since it is smaller than the sum of its proper divisors (149185485504).

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

67560964416 is a wasteful number, since it uses less digits than its factorization.

67560964416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 67560964416 in words is "sixty-seven billion, five hundred sixty million, nine hundred sixty-four thousand, four hundred sixteen".