4078646000 has 240 divisors, whose sum is σ = 11660601888. Its totient is φ = 1367808000.

The previous prime is 4078645997. The next prime is 4078646027. The reversal of 4078646000 is 6468704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3717452 + ... + 3718548.

Almost surely, 2^4078646000 is an apocalyptic number.

4078646000 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 4078646000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5830300944).

4078646000 is an abundant number, since it is smaller than the sum of its proper divisors (7581955888).

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

4078646000 is a wasteful number, since it uses less digits than its factorization.

4078646000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 4078646000 is about 63864.2779650721. The cubic root of 4078646000 is about 1597.7371658305.

The spelling of 4078646000 in words is "four billion, seventy-eight million, six hundred forty-six thousand".