67151658220416 has 1152 divisors, whose sum is σ = 250881257952000. Its totient is φ = 17392490864640.

The previous prime is 67151658220403. The next prime is 67151658220429. The reversal of 67151658220416 is 61402285615176.

67151658220416 is a `hidden beast` number, since 6 + 7 + 1 + 5 + 16 + 582 + 2 + 0 + 41 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (67151658220403) and next prime (67151658220429).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26448072075 + ... + 26448074613.

It is an arithmetic number, because the mean of its divisors is an integer number (217778869750).

Almost surely, 2^{67151658220416} is an apocalyptic number.

67151658220416 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 67151658220416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125440628976000).

67151658220416 is an abundant number, since it is smaller than the sum of its proper divisors (183729599731584).

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

67151658220416 is an equidigital number, since it uses as much as digits as its factorization.

67151658220416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3004 (or 2971 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 67151658220416 in words is "sixty-seven trillion, one hundred fifty-one billion, six hundred fifty-eight million, two hundred twenty thousand, four hundred sixteen".