4977955584 has 216 divisors, whose sum is σ = 16614940160. Its totient is φ = 1403910144.

The previous prime is 4977955583. The next prime is 4977955613. The reversal of 4977955584 is 4855597794.

4977955584 is a `hidden beast` number, since 4 + 9 + 7 + 79 + 5 + 558 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4977955583) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1272159 + ... + 1276065.

Almost surely, 2^4977955584 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 4977955584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8307470080).

4977955584 is an abundant number, since it is smaller than the sum of its proper divisors (11636984576).

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

4977955584 is a wasteful number, since it uses less digits than its factorization.

4977955584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4015 (or 3998 counting only the distinct ones).

The product of its digits is 63504000, while the sum is 63.

The square root of 4977955584 is about 70554.6283669612. The cubic root of 4977955584 is about 1707.4592163136.

The spelling of 4977955584 in words is "four billion, nine hundred seventy-seven million, nine hundred fifty-five thousand, five hundred eighty-four".