4678067777000 has 128 divisors (see below), whose sum is σ = 11066873875200. Its totient is φ = 1850742432000.

The previous prime is 4678067776999. The next prime is 4678067777011. The reversal of 4678067777000 is 7777608764.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61328885 + ... + 61405115.

It is an arithmetic number, because the mean of its divisors is an integer number (86459952150).

Almost surely, 2^{4678067777000} is an apocalyptic number.

4678067777000 is a gapful number since it is divisible by the number (40) 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 4678067777000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5533436937600).

4678067777000 is an abundant number, since it is smaller than the sum of its proper divisors (6388806098200).

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

4678067777000 is a wasteful number, since it uses less digits than its factorization.

4678067777000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76924 (or 76910 counting only the distinct ones).

The product of its (nonzero) digits is 19361664, while the sum is 59.

The spelling of 4678067777000 in words is "four trillion, six hundred seventy-eight billion, sixty-seven million, seven hundred seventy-seven thousand".