4977477120 has 640 divisors, whose sum is σ = 20930088960. Its totient is φ = 977633280.

The previous prime is 4977477103. The next prime is 4977477137. The reversal of 4977477120 is 217747794.

It is an interprime number because it is at equal distance from previous prime (4977477103) and next prime (4977477137).

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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4977477120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11235619 + ... + 11236061.

It is an arithmetic number, because the mean of its divisors is an integer number (32703264).

Almost surely, 2^4977477120 is an apocalyptic number.

4977477120 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 4977477120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10465044480).

4977477120 is an abundant number, since it is smaller than the sum of its proper divisors (15952611840).

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

4977477120 is a wasteful number, since it uses less digits than its factorization.

4977477120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 691488, while the sum is 48.

The square root of 4977477120 is about 70551.2375511585. The cubic root of 4977477120 is about 1707.4045095216.

The spelling of 4977477120 in words is "four billion, nine hundred seventy-seven million, four hundred seventy-seven thousand, one hundred twenty".