78169351680 has 480 divisors, whose sum is σ = 310790608128. Its totient is φ = 17786880000.

The previous prime is 78169351661. The next prime is 78169351709. The reversal of 78169351680 is 8615396187.

78169351680 is a `hidden beast` number, since 78 + 169 + 351 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×78169351680² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40480315 + ... + 40482245.

Almost surely, 2^78169351680 is an apocalyptic number.

78169351680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78169351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155395304064).

78169351680 is an abundant number, since it is smaller than the sum of its proper divisors (232621256448).

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

78169351680 is a wasteful number, since it uses less digits than its factorization.

78169351680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2218 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 78169351680 in words is "seventy-eight billion, one hundred sixty-nine million, three hundred fifty-one thousand, six hundred eighty".