67168006811040 has 96 divisors (see below), whose sum is σ = 211777145637120. Its totient is φ = 17894712996864.

The previous prime is 67168006811027. The next prime is 67168006811063. The reversal of 67168006811040 is 4011860086176.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×67168006811040² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64937464 + ... + 65963703.

It is an arithmetic number, because the mean of its divisors is an integer number (2206011933720).

Almost surely, 2^{67168006811040} is an apocalyptic number.

67168006811040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67168006811040 is an abundant number, since it is smaller than the sum of its proper divisors (144609138826080).

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

67168006811040 is a wasteful number, since it uses less digits than its factorization.

67168006811040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130902254 (or 130902246 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 67168006811040 in words is "sixty-seven trillion, one hundred sixty-eight billion, six million, eight hundred eleven thousand, forty".