4519265773680 has 1280 divisors, whose sum is σ = 18634207334400. Its totient is φ = 985374720000.

The previous prime is 4519265773661. The next prime is 4519265773691. The reversal of 4519265773680 is 863775629154.

4519265773680 is a `hidden beast` number, since 4 + 5 + 1 + 9 + 26 + 577 + 36 + 8 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5572460475 + ... + 5572461285.

It is an arithmetic number, because the mean of its divisors is an integer number (14557974480).

It is a 1-persistent number, because it is pandigital, but 2⋅4519265773680 = 9038531547360 is not.

Almost surely, 2^{4519265773680} is an apocalyptic number.

4519265773680 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 4519265773680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9317103667200).

4519265773680 is an abundant number, since it is smaller than the sum of its proper divisors (14114941560720).

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

4519265773680 is a wasteful number, since it uses less digits than its factorization.

4519265773680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 4519265773680 in words is "four trillion, five hundred nineteen billion, two hundred sixty-five million, seven hundred seventy-three thousand, six hundred eighty".