4765501440 has 576 divisors, whose sum is σ = 19317916800. Its totient is φ = 1064042496.

The previous prime is 4765501369. The next prime is 4765501471. The reversal of 4765501440 is 441055674.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 4765501395 and 4765501404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53544916 + ... + 53545004.

It is an arithmetic number, because the mean of its divisors is an integer number (33538050).

Almost surely, 2^4765501440 is an apocalyptic number.

4765501440 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 4765501440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9658958400).

4765501440 is an abundant number, since it is smaller than the sum of its proper divisors (14552415360).

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

4765501440 is a wasteful number, since it uses less digits than its factorization.

4765501440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 4765501440 is about 69032.6114238770. The cubic root of 4765501440 is about 1682.8143304294.

The spelling of 4765501440 in words is "four billion, seven hundred sixty-five million, five hundred one thousand, four hundred forty".