78870471380064 has 3072 divisors, whose sum is σ = 321889075200000. Its totient is φ = 18579437420544.

The previous prime is 78870471380023. The next prime is 78870471380069. The reversal of 78870471380064 is 46008317407887.

78870471380064 is a `hidden beast` number, since 7 + 8 + 8 + 70 + 471 + 38 + 0 + 0 + 64 = 666.

78870471380064 is digitally balanced in base 4, because in such base 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 junction number, because it is equal to n+sod(n) for n = 78870471379983 and 78870471380010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78870471380069) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 133002480952 + ... + 133002481544.

It is an arithmetic number, because the mean of its divisors is an integer number (104781600000).

Almost surely, 2^{78870471380064} 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 78870471380064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160944537600000).

78870471380064 is an abundant number, since it is smaller than the sum of its proper divisors (243018603819936).

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

78870471380064 is a wasteful number, since it uses less digits than its factorization.

78870471380064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 63.

The spelling of 78870471380064 in words is "seventy-eight trillion, eight hundred seventy billion, four hundred seventy-one million, three hundred eighty thousand, sixty-four".