67468119120 has 120 divisors (see below), whose sum is σ = 226823497992. Its totient is φ = 17972198400.

The previous prime is 67468119107. The next prime is 67468119139. The reversal of 67468119120 is 2191186476.

67468119120 is a `hidden beast` number, since 67 + 468 + 1 + 1 + 9 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20698001424 + 46770117696 = 143868^2 + 216264^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×67468119120³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 627730 + ... + 727310.

Almost surely, 2^67468119120 is an apocalyptic number.

67468119120 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 67468119120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113411748996).

67468119120 is an abundant number, since it is smaller than the sum of its proper divisors (159355378872).

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

67468119120 is a wasteful number, since it uses less digits than its factorization.

67468119120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100541 (or 100532 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 67468119120 in words is "sixty-seven billion, four hundred sixty-eight million, one hundred nineteen thousand, one hundred twenty".