4940580960 has 384 divisors, whose sum is σ = 19885824000. Its totient is φ = 1122232320.

The previous prime is 4940580959. The next prime is 4940580973. The reversal of 4940580960 is 690850494.

It is a happy number.

4940580960 is a `hidden beast` number, since 4 + 9 + 4 + 0 + 580 + 9 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6017350 + ... + 6018170.

It is an arithmetic number, because the mean of its divisors is an integer number (51786000).

Almost surely, 2^4940580960 is an apocalyptic number.

4940580960 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 4940580960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9942912000).

4940580960 is an abundant number, since it is smaller than the sum of its proper divisors (14945243040).

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

4940580960 is a wasteful number, since it uses less digits than its factorization.

4940580960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 4940580960 is about 70289.2663213950. The cubic root of 4940580960 is about 1703.1752604801.

The spelling of 4940580960 in words is "four billion, nine hundred forty million, five hundred eighty thousand, nine hundred sixty".