4612787520 has 224 divisors, whose sum is σ = 16067690496. Its totient is φ = 1111910400.

The previous prime is 4612787513. The next prime is 4612787551. The reversal of 4612787520 is 257872164.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2015817 + ... + 2018103.

Almost surely, 2^4612787520 is an apocalyptic number.

4612787520 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 4612787520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8033845248).

4612787520 is an abundant number, since it is smaller than the sum of its proper divisors (11454902976).

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

4612787520 is a wasteful number, since it uses less digits than its factorization.

4612787520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509 (or 2499 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 4612787520 is about 67917.5052545366. The cubic root of 4612787520 is about 1664.6431577524.

The spelling of 4612787520 in words is "four billion, six hundred twelve million, seven hundred eighty-seven thousand, five hundred twenty".