78641149929120 has 768 divisors, whose sum is σ = 283158203328000. Its totient is φ = 20373519237120.

The previous prime is 78641149929119. The next prime is 78641149929151. The reversal of 78641149929120 is 2192994114687.

78641149929120 is a `hidden beast` number, since 7 + 8 + 6 + 4 + 11 + 499 + 2 + 9 + 120 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40349485906 + ... + 40349487854.

It is an arithmetic number, because the mean of its divisors is an integer number (368695577250).

Almost surely, 2^{78641149929120} 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 78641149929120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141579101664000).

78641149929120 is an abundant number, since it is smaller than the sum of its proper divisors (204517053398880).

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

78641149929120 is a wasteful number, since it uses less digits than its factorization.

78641149929120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3070 (or 3056 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 78641149929120 in words is "seventy-eight trillion, six hundred forty-one billion, one hundred forty-nine million, nine hundred twenty-nine thousand, one hundred twenty".