78335674560 has 1792 divisors, whose sum is σ = 353938636800. Its totient is φ = 16024780800.

The previous prime is 78335674559. The next prime is 78335674561. The reversal of 78335674560 is 6547653387.

78335674560 is a `hidden beast` number, since 7 + 8 + 3 + 3 + 5 + 6 + 74 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (78335674559) and next prime (78335674561).

It is a super-4 number, since 4×78335674560⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 78335674497 and 78335674506.

It is not an unprimeable number, because it can be changed into a prime (78335674561) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1103319325 + ... + 1103319395.

It is an arithmetic number, because the mean of its divisors is an integer number (197510400).

Almost surely, 2^78335674560 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 78335674560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176969318400).

78335674560 is an abundant number, since it is smaller than the sum of its proper divisors (275602962240).

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

78335674560 is a wasteful number, since it uses less digits than its factorization.

78335674560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 78335674560 in words is "seventy-eight billion, three hundred thirty-five million, six hundred seventy-four thousand, five hundred sixty".