4362142680 has 384 divisors, whose sum is σ = 17466624000. Its totient is φ = 964535040.

The previous prime is 4362142663. The next prime is 4362142699. The reversal of 4362142680 is 862412634.

4362142680 is a `hidden beast` number, since 4 + 3 + 621 + 4 + 26 + 8 + 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1639191 + ... + 1641849.

It is an arithmetic number, because the mean of its divisors is an integer number (45486000).

Almost surely, 2^4362142680 is an apocalyptic number.

4362142680 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 4362142680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8733312000).

4362142680 is an abundant number, since it is smaller than the sum of its proper divisors (13104481320).

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

4362142680 is a wasteful number, since it uses less digits than its factorization.

4362142680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4362142680 is about 66046.5190604319. The cubic root of 4362142680 is about 1633.9294060241.

The spelling of 4362142680 in words is "four billion, three hundred sixty-two million, one hundred forty-two thousand, six hundred eighty".