4960725120 has 640 divisors, whose sum is σ = 20247297840. Its totient is φ = 1146617856.

The previous prime is 4960725083. The next prime is 4960725157. The reversal of 4960725120 is 215270694.

4960725120 is a `hidden beast` number, since 4 + 9 + 607 + 25 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (4960725083) and next prime (4960725157).

It can be written as a sum of positive squares in 8 ways, for example, as 918817344 + 4041907776 = 30312^2 + 63576^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11456424 + ... + 11456856.

Almost surely, 2^4960725120 is an apocalyptic number.

4960725120 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 4960725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10123648920).

4960725120 is an abundant number, since it is smaller than the sum of its proper divisors (15286572720).

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

4960725120 is a wasteful number, since it uses less digits than its factorization.

4960725120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 4960725120 is about 70432.4152645641. The cubic root of 4960725120 is about 1705.4868989509.

The spelling of 4960725120 in words is "four billion, nine hundred sixty million, seven hundred twenty-five thousand, one hundred twenty".