67198311040 has 128 divisors (see below), whose sum is σ = 184766716800. Its totient is φ = 22892433408.

The previous prime is 67198311007. The next prime is 67198311049. The reversal of 67198311040 is 4011389176.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×67198311040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 67198310984 and 67198311002.

It is not an unprimeable number, because it can be changed into a prime (67198311049) 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 15 ways as a sum of consecutive naturals, for example, 655591 + ... + 751129.

It is an arithmetic number, because the mean of its divisors is an integer number (1443489975).

Almost surely, 2^67198311040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67198311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92383358400).

67198311040 is an abundant number, since it is smaller than the sum of its proper divisors (117568405760).

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

67198311040 is a wasteful number, since it uses less digits than its factorization.

67198311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95722 (or 95710 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The spelling of 67198311040 in words is "sixty-seven billion, one hundred ninety-eight million, three hundred eleven thousand, forty".