4962456576 has 792 divisors, whose sum is σ = 19366847136. Its totient is φ = 1254113280.

The previous prime is 4962456557. The next prime is 4962456589. The reversal of 4962456576 is 6756542694.

4962456576 is a `hidden beast` number, since 4 + 9 + 6 + 2 + 4 + 565 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (10886400) is a multiple of the sum of its prime divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 134120430 + ... + 134120466.

Almost surely, 2^4962456576 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 4962456576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9683423568).

4962456576 is an abundant number, since it is smaller than the sum of its proper divisors (14404390560).

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

4962456576 is a wasteful number, since it uses less digits than its factorization.

4962456576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 60 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The square root of 4962456576 is about 70444.7058053336. The cubic root of 4962456576 is about 1705.6852995179.

The spelling of 4962456576 in words is "four billion, nine hundred sixty-two million, four hundred fifty-six thousand, five hundred seventy-six".