4765962240 has 780 divisors, whose sum is σ = 19588317804. Its totient is φ = 1104150528.

The previous prime is 4765962209. The next prime is 4765962251. The reversal of 4765962240 is 422695674.

It can be written as a sum of positive squares in 6 ways, for example, as 454201344 + 4311760896 = 21312^2 + 65664^2 .

It is a tau number, because it is divible by the number of its divisors (780).

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 59 ways as a sum of consecutive naturals, for example, 280350712 + ... + 280350728.

Almost surely, 2^4765962240 is an apocalyptic number.

4765962240 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 4765962240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9794158902).

4765962240 is an abundant number, since it is smaller than the sum of its proper divisors (14822355564).

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

4765962240 is a wasteful number, since it uses less digits than its factorization.

4765962240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 4765962240 is about 69035.9488962091. The cubic root of 4765962240 is about 1682.8685685728.

The spelling of 4765962240 in words is "four billion, seven hundred sixty-five million, nine hundred sixty-two thousand, two hundred forty".