4067788000 has 48 divisors (see below), whose sum is σ = 9994564944. Its totient is φ = 1627113600.

The previous prime is 4067787959. The next prime is 4067788009. The reversal of 4067788000 is 8877604.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4067788009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 504474 + ... + 512473.

It is an arithmetic number, because the mean of its divisors is an integer number (208220103).

Almost surely, 2^4067788000 is an apocalyptic number.

4067788000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4067788000 is an abundant number, since it is smaller than the sum of its proper divisors (5926776944).

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

4067788000 is a wasteful number, since it uses less digits than its factorization.

4067788000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016972 (or 1016954 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The square root of 4067788000 is about 63779.2129145539. The cubic root of 4067788000 is about 1596.3180962396.

The spelling of 4067788000 in words is "four billion, sixty-seven million, seven hundred eighty-eight thousand".