4756977280 has 256 divisors, whose sum is σ = 13028843520. Its totient is φ = 1645056000.

The previous prime is 4756977259. The next prime is 4756977283. The reversal of 4756977280 is 827796574.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (4756977283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15494887 + ... + 15495193.

It is an arithmetic number, because the mean of its divisors is an integer number (50893920).

Almost surely, 2^4756977280 is an apocalyptic number.

4756977280 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 4756977280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6514421760).

4756977280 is an abundant number, since it is smaller than the sum of its proper divisors (8271866240).

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

4756977280 is a wasteful number, since it uses less digits than its factorization.

4756977280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 55.

The square root of 4756977280 is about 68970.8436949991. The cubic root of 4756977280 is about 1681.8103689284.

The spelling of 4756977280 in words is "four billion, seven hundred fifty-six million, nine hundred seventy-seven thousand, two hundred eighty".