4778007268320 has 768 divisors, whose sum is σ = 20280474869760. Its totient is φ = 1034709811200.

The previous prime is 4778007268319. The next prime is 4778007268369. The reversal of 4778007268320 is 238627008774.

4778007268320 is a `hidden beast` number, since 477 + 8 + 0 + 0 + 72 + 6 + 83 + 20 = 666.

It is a super-2 number, since 2×4778007268320² (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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19025812 + ... + 19275308.

It is an arithmetic number, because the mean of its divisors is an integer number (26406868320).

Almost surely, 2^{4778007268320} is an apocalyptic number.

4778007268320 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 4778007268320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10140237434880).

4778007268320 is an abundant number, since it is smaller than the sum of its proper divisors (15502467601440).

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

4778007268320 is a wasteful number, since it uses less digits than its factorization.

4778007268320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249576 (or 249562 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 4778007268320 in words is "four trillion, seven hundred seventy-eight billion, seven million, two hundred sixty-eight thousand, three hundred twenty".