4932476760 has 128 divisors (see below), whose sum is σ = 15690931200. Its totient is φ = 1236925440.

The previous prime is 4932476749. The next prime is 4932476767. The reversal of 4932476760 is 676742394.

It is a super-4 number, since 4×4932476760⁴ (a number of 40 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4932476767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 304465 + ... + 320255.

It is an arithmetic number, because the mean of its divisors is an integer number (122585400).

Almost surely, 2^4932476760 is an apocalyptic number.

4932476760 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 4932476760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7845465600).

4932476760 is an abundant number, since it is smaller than the sum of its proper divisors (10758454440).

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

4932476760 is a wasteful number, since it uses less digits than its factorization.

4932476760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15961 (or 15957 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 48.

The square root of 4932476760 is about 70231.5937452654. The cubic root of 4932476760 is about 1702.2434923981.

The spelling of 4932476760 in words is "four billion, nine hundred thirty-two million, four hundred seventy-six thousand, seven hundred sixty".