78470672542416 has 1080 divisors, whose sum is σ = 286533307569600. Its totient is φ = 19968121958400.

The previous prime is 78470672542333. The next prime is 78470672542417. The reversal of 78470672542416 is 61424527607487.

It is a happy number.

78470672542416 is a `hidden beast` number, since 7 + 8 + 4 + 7 + 0 + 6 + 72 + 542 + 4 + 16 = 666.

78470672542416 is digitally balanced in base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78470672542417) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 15665933320 + ... + 15665938328.

It is an arithmetic number, because the mean of its divisors is an integer number (265308618120).

Almost surely, 2^{78470672542416} 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 78470672542416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143266653784800).

78470672542416 is an abundant number, since it is smaller than the sum of its proper divisors (208062635027184).

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

78470672542416 is a wasteful number, since it uses less digits than its factorization.

78470672542416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5429 (or 5402 counting only the distinct ones).

The product of its (nonzero) digits is 126443520, while the sum is 63.

The spelling of 78470672542416 in words is "seventy-eight trillion, four hundred seventy billion, six hundred seventy-two million, five hundred forty-two thousand, four hundred sixteen".