4768977780 has 432 divisors, whose sum is σ = 17860227840. Its totient is φ = 1006967808.

The previous prime is 4768977779. The next prime is 4768977793. The reversal of 4768977780 is 877798674.

4768977780 is a `hidden beast` number, since 476 + 8 + 97 + 7 + 78 + 0 = 666.

It is a super-2 number, since 2×4768977780² = 45486298132267456800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 53583976 + ... + 53584064.

It is an arithmetic number, because the mean of its divisors is an integer number (41343120).

Almost surely, 2^4768977780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4768977780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8930113920).

4768977780 is an abundant number, since it is smaller than the sum of its proper divisors (13091250060).

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

4768977780 is a wasteful number, since it uses less digits than its factorization.

4768977780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 33191424, while the sum is 63.

The square root of 4768977780 is about 69057.7858029057. The cubic root of 4768977780 is about 1683.2234243394.

The spelling of 4768977780 in words is "four billion, seven hundred sixty-eight million, nine hundred seventy-seven thousand, seven hundred eighty".