4612256880 has 640 divisors, whose sum is σ = 18814795776. Its totient is φ = 906854400.

The previous prime is 4612256843. The next prime is 4612256899. The reversal of 4612256880 is 886522164.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47548992 + ... + 47549088.

Almost surely, 2^4612256880 is an apocalyptic number.

4612256880 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 4612256880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9407397888).

4612256880 is an abundant number, since it is smaller than the sum of its proper divisors (14202538896).

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

4612256880 is a wasteful number, since it uses less digits than its factorization.

4612256880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 4612256880 is about 67913.5986382698. The cubic root of 4612256880 is about 1664.5793236018.

The spelling of 4612256880 in words is "four billion, six hundred twelve million, two hundred fifty-six thousand, eight hundred eighty".