4977262080 has 640 divisors, whose sum is σ = 20615823360. Its totient is φ = 1128701952.

The previous prime is 4977262063. The next prime is 4977262109. The reversal of 4977262080 is 802627794.

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 39190977 + ... + 39191103.

It is an arithmetic number, because the mean of its divisors is an integer number (32212224).

Almost surely, 2^4977262080 is an apocalyptic number.

4977262080 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 4977262080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10307911680).

4977262080 is an abundant number, since it is smaller than the sum of its proper divisors (15638561280).

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

4977262080 is an frugal number, since it uses more digits than its factorization.

4977262080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 4977262080 is about 70549.7135359174. The cubic root of 4977262080 is about 1707.3799210574.

The spelling of 4977262080 in words is "four billion, nine hundred seventy-seven million, two hundred sixty-two thousand, eighty".