4642629120 has 240 divisors, whose sum is σ = 16779720672. Its totient is φ = 1184071680.

The previous prime is 4642629083. The next prime is 4642629149. The reversal of 4642629120 is 219262464.

4642629120 is a `hidden beast` number, since 4 + 6 + 4 + 2 + 629 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 23 ways as a sum of consecutive naturals, for example, 525540 + ... + 534300.

Almost surely, 2^4642629120 is an apocalyptic number.

4642629120 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 4642629120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8389860336).

4642629120 is an abundant number, since it is smaller than the sum of its proper divisors (12137091552).

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

4642629120 is a wasteful number, since it uses less digits than its factorization.

4642629120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8813 (or 8794 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4642629120 is about 68136.8411360550. The cubic root of 4642629120 is about 1668.2251477389.

The spelling of 4642629120 in words is "four billion, six hundred forty-two million, six hundred twenty-nine thousand, one hundred twenty".