4067798400 has 576 divisors, whose sum is σ = 15737274000. Its totient is φ = 1025925120.

The previous prime is 4067798387. The next prime is 4067798417. The reversal of 4067798400 is 48977604.

4067798400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45705556 + ... + 45705644.

Almost surely, 2^4067798400 is an apocalyptic number.

4067798400 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 4067798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7868637000).

4067798400 is an abundant number, since it is smaller than the sum of its proper divisors (11669475600).

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

4067798400 is a wasteful number, since it uses less digits than its factorization.

4067798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 4067798400 is about 63779.2944457682. The cubic root of 4067798400 is about 1596.3194566591.

The spelling of 4067798400 in words is "four billion, sixty-seven million, seven hundred ninety-eight thousand, four hundred".