78416664912000 has 768 divisors, whose sum is σ = 292436464320000. Its totient is φ = 20112987955200.

The previous prime is 78416664911999. The next prime is 78416664912007. The reversal of 78416664912000 is 21946661487.

It is a super-2 number, since 2×78416664912000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78416664912007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1098252301 + ... + 1098323699.

It is an arithmetic number, because the mean of its divisors is an integer number (380776646250).

Almost surely, 2^{78416664912000} 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 78416664912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146218232160000).

78416664912000 is an abundant number, since it is smaller than the sum of its proper divisors (214019799408000).

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

78416664912000 is a wasteful number, since it uses less digits than its factorization.

78416664912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71726 (or 71701 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 78416664912000 in words is "seventy-eight trillion, four hundred sixteen billion, six hundred sixty-four million, nine hundred twelve thousand".