67901123264 has 112 divisors (see below), whose sum is σ = 148100430240. Its totient is φ = 30696161280.

The previous prime is 67901123261. The next prime is 67901123281. The reversal of 67901123264 is 46232110976.

It is a super-2 number, since 2×67901123264² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (67901123261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14380424 + ... + 14385144.

It is an arithmetic number, because the mean of its divisors is an integer number (1322325270).

Almost surely, 2^67901123264 is an apocalyptic number.

67901123264 is a gapful number since it is divisible by the number (64) 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 67901123264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74050215120).

67901123264 is an abundant number, since it is smaller than the sum of its proper divisors (80199306976).

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

67901123264 is a wasteful number, since it uses less digits than its factorization.

67901123264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5098 (or 5088 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The spelling of 67901123264 in words is "sixty-seven billion, nine hundred one million, one hundred twenty-three thousand, two hundred sixty-four".