78394609448064 has 1920 divisors, whose sum is σ = 312510044246400. Its totient is φ = 19267527573504.

The previous prime is 78394609448017. The next prime is 78394609448093. The reversal of 78394609448064 is 46084490649387.

78394609448064 is a `hidden beast` number, since 7 + 8 + 3 + 9 + 4 + 609 + 4 + 4 + 8 + 0 + 6 + 4 = 666.

It is a super-2 number, since 2×78394609448064² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 78394609447983 and 78394609448001.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 11564329027 + ... + 11564335805.

It is an arithmetic number, because the mean of its divisors is an integer number (162765648045).

Almost surely, 2^{78394609448064} 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 78394609448064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156255022123200).

78394609448064 is an abundant number, since it is smaller than the sum of its proper divisors (234115434798336).

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

78394609448064 is a wasteful number, since it uses less digits than its factorization.

78394609448064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6952 (or 6924 counting only the distinct ones).

The product of its (nonzero) digits is 1003290624, while the sum is 72.

The spelling of 78394609448064 in words is "seventy-eight trillion, three hundred ninety-four billion, six hundred nine million, four hundred forty-eight thousand, sixty-four".