4612406976 has 280 divisors, whose sum is σ = 14224924560. Its totient is φ = 1476569088.

The previous prime is 4612406957. The next prime is 4612406983. The reversal of 4612406976 is 6796042164.

It is a super-2 number, since 2×4612406976² = 42548596224506929152, which contains 22 as substring.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 26661226 + ... + 26661398.

It is an arithmetic number, because the mean of its divisors is an integer number (50803302).

Almost surely, 2^4612406976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4612406976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7112462280).

4612406976 is an abundant number, since it is smaller than the sum of its proper divisors (9612517584).

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

4612406976 is a wasteful number, since it uses less digits than its factorization.

4612406976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 4612406976 is about 67914.7036804255. The cubic root of 4612406976 is about 1664.5973801263.

The spelling of 4612406976 in words is "four billion, six hundred twelve million, four hundred six thousand, nine hundred seventy-six".