67338952611840 has 3072 divisors, whose sum is σ = 313556537548800. Its totient is φ = 13302805561344.

The previous prime is 67338952611803. The next prime is 67338952611841. The reversal of 67338952611840 is 4811625983376.

67338952611840 is a `hidden beast` number, since 6 + 7 + 3 + 3 + 8 + 9 + 5 + 2 + 611 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67338952611841) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 133874657029 + ... + 133874657531.

It is an arithmetic number, because the mean of its divisors is an integer number (102069185400).

It is a 2-persistent number, because it is pandigital, and so is 2⋅67338952611840 = 134677905223680, but 3⋅67338952611840 = 202016857835520 is not.

Almost surely, 2^{67338952611840} is an apocalyptic number.

67338952611840 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 67338952611840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156778268774400).

67338952611840 is an abundant number, since it is smaller than the sum of its proper divisors (246217584936960).

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

67338952611840 is a wasteful number, since it uses less digits than its factorization.

67338952611840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 67338952611840 in words is "sixty-seven trillion, three hundred thirty-eight billion, nine hundred fifty-two million, six hundred eleven thousand, eight hundred forty".