4977221760 has 768 divisors, whose sum is σ = 21194784000. Its totient is φ = 1051066368.

The previous prime is 4977221747. The next prime is 4977221807. The reversal of 4977221760 is 671227794.

4977221760 is a `hidden beast` number, since 497 + 72 + 21 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 55923796 + ... + 55923884.

It is an arithmetic number, because the mean of its divisors is an integer number (27597375).

Almost surely, 2^4977221760 is an apocalyptic number.

4977221760 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 4977221760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10597392000).

4977221760 is an abundant number, since it is smaller than the sum of its proper divisors (16217562240).

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

4977221760 is a wasteful number, since it uses less digits than its factorization.

4977221760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 4977221760 is about 70549.4277793945. The cubic root of 4977221760 is about 1707.3753106416.

The spelling of 4977221760 in words is "four billion, nine hundred seventy-seven million, two hundred twenty-one thousand, seven hundred sixty".