4064103600 has 120 divisors (see below), whose sum is σ = 13264521552. Its totient is φ = 1063296000.

The previous prime is 4064103599. The next prime is 4064103607. The reversal of 4064103600 is 63014604.

4064103600 is digitally balanced in base 2, because in such base 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4064103607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31650 + ... + 95550.

Almost surely, 2^4064103600 is an apocalyptic number.

4064103600 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 4064103600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6632260776).

4064103600 is an abundant number, since it is smaller than the sum of its proper divisors (9200417952).

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

4064103600 is a wasteful number, since it uses less digits than its factorization.

4064103600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63975 (or 63964 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 4064103600 is about 63750.3223521262. The cubic root of 4064103600 is about 1595.8359954841.

The spelling of 4064103600 in words is "four billion, sixty-four million, one hundred three thousand, six hundred".