4765375722240 has 1440 divisors, whose sum is σ = 19999422340800. Its totient is φ = 1087692447744.

The previous prime is 4765375722197. The next prime is 4765375722271. The reversal of 4765375722240 is 422275735674.

4765375722240 is a `hidden beast` number, since 4 + 7 + 6 + 5 + 3 + 7 + 572 + 22 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×4765375722240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6721263006 + ... + 6721263714.

Almost surely, 2^{4765375722240} is an apocalyptic number.

4765375722240 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 4765375722240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9999711170400).

4765375722240 is an abundant number, since it is smaller than the sum of its proper divisors (15234046618560).

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

4765375722240 is an frugal number, since it uses more digits than its factorization.

4765375722240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 19756800, while the sum is 54.

The spelling of 4765375722240 in words is "four trillion, seven hundred sixty-five billion, three hundred seventy-five million, seven hundred twenty-two thousand, two hundred forty".