4960765152 has 144 divisors (see below), whose sum is σ = 16515993312. Its totient is φ = 1382768640.

The previous prime is 4960765141. The next prime is 4960765169. The reversal of 4960765152 is 2515670694.

4960765152 is a `hidden beast` number, since 4 + 9 + 60 + 76 + 515 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 4960765098 and 4960765107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52648 + ... + 112664.

It is an arithmetic number, because the mean of its divisors is an integer number (114694398).

Almost surely, 2^4960765152 is an apocalyptic number.

4960765152 is a gapful number since it is divisible by the number (42) 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 4960765152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8257996656).

4960765152 is an abundant number, since it is smaller than the sum of its proper divisors (11555228160).

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

4960765152 is a wasteful number, since it uses less digits than its factorization.

4960765152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60081 (or 60070 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 4960765152 is about 70432.6994513202. The cubic root of 4960765152 is about 1705.4914865778.

The spelling of 4960765152 in words is "four billion, nine hundred sixty million, seven hundred sixty-five thousand, one hundred fifty-two".