4776561377280 has 2048 divisors, whose sum is σ = 21803337216000. Its totient is φ = 963158999040.

The previous prime is 4776561377279. The next prime is 4776561377297. The reversal of 4776561377280 is 827731656774.

4776561377280 is a `hidden beast` number, since 4 + 7 + 7 + 6 + 5 + 613 + 7 + 7 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

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

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, 12603064131 + ... + 12603064509.

It is an arithmetic number, because the mean of its divisors is an integer number (10646160750).

Almost surely, 2^{4776561377280} is an apocalyptic number.

4776561377280 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 4776561377280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10901668608000).

4776561377280 is an abundant number, since it is smaller than the sum of its proper divisors (17026775838720).

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

4776561377280 is a wasteful number, since it uses less digits than its factorization.

4776561377280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 82978560, while the sum is 63.

The spelling of 4776561377280 in words is "four trillion, seven hundred seventy-six billion, five hundred sixty-one million, three hundred seventy-seven thousand, two hundred eighty".