4960737360 has 480 divisors, whose sum is σ = 18865042560. Its totient is φ = 1160773632.

The previous prime is 4960737347. The next prime is 4960737367. The reversal of 4960737360 is 637370694.

4960737360 is a `hidden beast` number, since 4 + 9 + 607 + 3 + 7 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4960737367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19302352 + ... + 19302608.

It is an arithmetic number, because the mean of its divisors is an integer number (39302172).

Almost surely, 2^4960737360 is an apocalyptic number.

4960737360 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 4960737360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9432521280).

4960737360 is an abundant number, since it is smaller than the sum of its proper divisors (13904305200).

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

4960737360 is a wasteful number, since it uses less digits than its factorization.

4960737360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The square root of 4960737360 is about 70432.5021563198. The cubic root of 4960737360 is about 1705.4883016452.

The spelling of 4960737360 in words is "four billion, nine hundred sixty million, seven hundred thirty-seven thousand, three hundred sixty".