4780714878720 has 1296 divisors, whose sum is σ = 19439736353856. Its totient is φ = 1081235865600.

The previous prime is 4780714878707. The next prime is 4780714878733. The reversal of 4780714878720 is 278784170874.

4780714878720 is a `hidden beast` number, since 4 + 7 + 8 + 0 + 71 + 487 + 87 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4780714878707) and next prime (4780714878733).

It is a super-2 number, since 2×4780714878720² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1314464742 + ... + 1314468378.

Almost surely, 2^{4780714878720} is an apocalyptic number.

4780714878720 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 4780714878720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9719868176928).

4780714878720 is an abundant number, since it is smaller than the sum of its proper divisors (14659021475136).

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

4780714878720 is a wasteful number, since it uses less digits than its factorization.

4780714878720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3750 (or 3722 counting only the distinct ones).

The product of its (nonzero) digits is 39337984, while the sum is 63.

The spelling of 4780714878720 in words is "four trillion, seven hundred eighty billion, seven hundred fourteen million, eight hundred seventy-eight thousand, seven hundred twenty".