4778069852160 has 1920 divisors, whose sum is σ = 20710446768000. Its totient is φ = 1032805416960.

The previous prime is 4778069852137. The next prime is 4778069852183. The reversal of 4778069852160 is 612589608774.

4778069852160 is a `hidden beast` number, since 47 + 7 + 8 + 0 + 6 + 9 + 8 + 521 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (4778069852137) and next prime (4778069852183).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 251477360631 + ... + 251477360649.

It is an arithmetic number, because the mean of its divisors is an integer number (10786691025).

Almost surely, 2^{4778069852160} is an apocalyptic number.

4778069852160 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 4778069852160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10355223384000).

4778069852160 is an abundant number, since it is smaller than the sum of its proper divisors (15932376915840).

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

4778069852160 is an equidigital number, since it uses as much as digits as its factorization.

4778069852160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 4778069852160 in words is "four trillion, seven hundred seventy-eight billion, sixty-nine million, eight hundred fifty-two thousand, one hundred sixty".