78132245968 has 240 divisors, whose sum is σ = 190874449920. Its totient is φ = 30789787392.

The previous prime is 78132245953. The next prime is 78132245977. The reversal of 78132245968 is 86954223187.

It is a super-2 number, since 2×78132245968² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142837471 + ... + 142838017.

It is an arithmetic number, because the mean of its divisors is an integer number (795310208).

Almost surely, 2^78132245968 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 78132245968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95437224960).

78132245968 is an abundant number, since it is smaller than the sum of its proper divisors (112742203952).

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

78132245968 is a wasteful number, since it uses less digits than its factorization.

78132245968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 841 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 55.

The spelling of 78132245968 in words is "seventy-eight billion, one hundred thirty-two million, two hundred forty-five thousand, nine hundred sixty-eight".