4977700560 has 320 divisors, whose sum is σ = 20627251200. Its totient is φ = 1077815808.

The previous prime is 4977700531. The next prime is 4977700573. The reversal of 4977700560 is 650077794.

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, 278617 + ... + 295943.

It is an arithmetic number, because the mean of its divisors is an integer number (64460160).

Almost surely, 2^4977700560 is an apocalyptic number.

4977700560 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 4977700560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10313625600).

4977700560 is an abundant number, since it is smaller than the sum of its proper divisors (15649550640).

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

4977700560 is a wasteful number, since it uses less digits than its factorization.

4977700560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17375 (or 17363 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 4977700560 is about 70552.8210633707. The cubic root of 4977700560 is about 1707.4300577224.

The spelling of 4977700560 in words is "four billion, nine hundred seventy-seven million, seven hundred thousand, five hundred sixty".