4270633920 has 504 divisors, whose sum is σ = 17857585824. Its totient is φ = 917471232.

The previous prime is 4270633901. The next prime is 4270633921. The reversal of 4270633920 is 293360724.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4270633921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5825874 + ... + 5826606.

Almost surely, 2^4270633920 is an apocalyptic number.

4270633920 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 4270633920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8928792912).

4270633920 is an abundant number, since it is smaller than the sum of its proper divisors (13586951904).

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

4270633920 is a wasteful number, since it uses less digits than its factorization.

4270633920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 4270633920 is about 65350.0873756111. The cubic root of 4270633920 is about 1622.4230771784.

The spelling of 4270633920 in words is "four billion, two hundred seventy million, six hundred thirty-three thousand, nine hundred twenty".