4076946000 has 320 divisors, whose sum is σ = 14766435840. Its totient is φ = 1075161600.

The previous prime is 4076945981. The next prime is 4076946011. The reversal of 4076946000 is 6496704.

4076946000 is a `hidden beast` number, since 40 + 7 + 6 + 9 + 4 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5561634 + ... + 5562366.

It is an arithmetic number, because the mean of its divisors is an integer number (46145112).

Almost surely, 2^4076946000 is an apocalyptic number.

4076946000 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 4076946000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7383217920).

4076946000 is an abundant number, since it is smaller than the sum of its proper divisors (10689489840).

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

4076946000 is a wasteful number, since it uses less digits than its factorization.

4076946000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 4076946000 is about 63850.9671030909. The cubic root of 4076946000 is about 1597.5151533752.

The spelling of 4076946000 in words is "four billion, seventy-six million, nine hundred forty-six thousand".