78267442343628 has 192 divisors, whose sum is σ = 197090371086336. Its totient is φ = 24085458432000.

The previous prime is 78267442343569. The next prime is 78267442343663. The reversal of 78267442343628 is 82634324476287.

It is a happy number.

78267442343628 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×78267442343628² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2436931426 + ... + 2436963542.

It is an arithmetic number, because the mean of its divisors is an integer number (1026512349408).

Almost surely, 2^{78267442343628} 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 78267442343628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98545185543168).

78267442343628 is an abundant number, since it is smaller than the sum of its proper divisors (118822928742708).

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

78267442343628 is a wasteful number, since it uses less digits than its factorization.

78267442343628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33064 (or 33062 counting only the distinct ones).

The product of its digits is 520224768, while the sum is 66.

The spelling of 78267442343628 in words is "seventy-eight trillion, two hundred sixty-seven billion, four hundred forty-two million, three hundred forty-three thousand, six hundred twenty-eight".