78470376791040 has 3168 divisors, whose sum is σ = 334876392002880. Its totient is φ = 17529493782528.

The previous prime is 78470376791003. The next prime is 78470376791041. The reversal of 78470376791040 is 4019767307487.

78470376791040 is a `hidden beast` number, since 7 + 8 + 470 + 3 + 76 + 7 + 91 + 0 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78470376791041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 103659678342 + ... + 103659679098.

Almost surely, 2^{78470376791040} 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 78470376791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167438196001440).

78470376791040 is an abundant number, since it is smaller than the sum of its proper divisors (256406015211840).

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

78470376791040 is a wasteful number, since it uses less digits than its factorization.

78470376791040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 49787136, while the sum is 63.

The spelling of 78470376791040 in words is "seventy-eight trillion, four hundred seventy billion, three hundred seventy-six million, seven hundred ninety-one thousand, forty".