78342503768064 has 1008 divisors, whose sum is σ = 250737280185600. Its totient is φ = 24389708414976.

The previous prime is 78342503768041. The next prime is 78342503768119. The reversal of 78342503768064 is 46086730524387.

78342503768064 is a `hidden beast` number, since 7 + 8 + 3 + 4 + 2 + 503 + 7 + 68 + 0 + 64 = 666.

It is a super-2 number, since 2×78342503768064² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78342503767992 and 78342503768010.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 163554287377 + ... + 163554287855.

Almost surely, 2^{78342503768064} 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 78342503768064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125368640092800).

78342503768064 is an abundant number, since it is smaller than the sum of its proper divisors (172394776417536).

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

78342503768064 is an frugal number, since it uses more digits than its factorization.

78342503768064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 78342503768064 in words is "seventy-eight trillion, three hundred forty-two billion, five hundred three million, seven hundred sixty-eight thousand, sixty-four".