4780759460448 has 384 divisors, whose sum is σ = 13488145090560. Its totient is φ = 1479384023040.

The previous prime is 4780759460387. The next prime is 4780759460453. The reversal of 4780759460448 is 8440649570874.

It is a super-2 number, since 2×4780759460448² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3864800886 + ... + 3864802122.

It is an arithmetic number, because the mean of its divisors is an integer number (35125377840).

Almost surely, 2^{4780759460448} is an apocalyptic number.

4780759460448 is a gapful number since it is divisible by the number (48) 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 4780759460448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6744072545280).

4780759460448 is an abundant number, since it is smaller than the sum of its proper divisors (8707385630112).

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

4780759460448 is a wasteful number, since it uses less digits than its factorization.

4780759460448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 66.

The spelling of 4780759460448 in words is "four trillion, seven hundred eighty billion, seven hundred fifty-nine million, four hundred sixty thousand, four hundred forty-eight".