4162764800 has 90 divisors (see below), whose sum is σ = 10324357428. Its totient is φ = 1664942080.

The previous prime is 4162764799. The next prime is 4162764811. The reversal of 4162764800 is 84672614.

It is a super-2 number, since 2×4162764800² = 34657221560238080000, which contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 404519 + ... + 414681.

Almost surely, 2^4162764800 is an apocalyptic number.

4162764800 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 4162764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5162178714).

4162764800 is an abundant number, since it is smaller than the sum of its proper divisors (6161592628).

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

4162764800 is an equidigital number, since it uses as much as digits as its factorization.

4162764800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10201 (or 10170 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 4162764800 is about 64519.4916284994. The cubic root of 4162764800 is about 1608.6465226905.

The spelling of 4162764800 in words is "four billion, one hundred sixty-two million, seven hundred sixty-four thousand, eight hundred".