4756754880 has 168 divisors, whose sum is σ = 17222571600. Its totient is φ = 1201692672.

The previous prime is 4756754879. The next prime is 4756754939. The reversal of 4756754880 is 884576574.

4756754880 is a `hidden beast` number, since 47 + 56 + 7 + 548 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11256 + ... + 98184.

Almost surely, 2^4756754880 is an apocalyptic number.

4756754880 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 4756754880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8611285800).

4756754880 is an abundant number, since it is smaller than the sum of its proper divisors (12465816720).

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

4756754880 is a wasteful number, since it uses less digits than its factorization.

4756754880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86971 (or 86958 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The square root of 4756754880 is about 68969.2314006761. The cubic root of 4756754880 is about 1681.7841589753.

The spelling of 4756754880 in words is "four billion, seven hundred fifty-six million, seven hundred fifty-four thousand, eight hundred eighty".