4762415672 has 64 divisors (see below), whose sum is σ = 10617815040. Its totient is φ = 1959552000.

The previous prime is 4762415617. The next prime is 4762415681. The reversal of 4762415672 is 2765142674.

It is a happy number.

It is a super-3 number, since 3×4762415672³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 209672 + ... + 231272.

It is an arithmetic number, because the mean of its divisors is an integer number (165903360).

Almost surely, 2^4762415672 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 4762415672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5308907520).

4762415672 is an abundant number, since it is smaller than the sum of its proper divisors (5855399368).

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

4762415672 is a wasteful number, since it uses less digits than its factorization.

4762415672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21772 (or 21768 counting only the distinct ones).

The product of its digits is 564480, while the sum is 44.

The square root of 4762415672 is about 69010.2577302824. The cubic root of 4762415672 is about 1682.4510321217.

The spelling of 4762415672 in words is "four billion, seven hundred sixty-two million, four hundred fifteen thousand, six hundred seventy-two".