4754977920 has 768 divisors, whose sum is σ = 20896911360. Its totient is φ = 967680000.

The previous prime is 4754977919. The next prime is 4754977937. The reversal of 4754977920 is 297794574.

4754977920 is a `hidden beast` number, since 4 + 7 + 549 + 7 + 7 + 92 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31489845 + ... + 31489995.

It is an arithmetic number, because the mean of its divisors is an integer number (27209520).

Almost surely, 2^4754977920 is an apocalyptic number.

4754977920 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 4754977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10448455680).

4754977920 is an abundant number, since it is smaller than the sum of its proper divisors (16141933440).

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

4754977920 is a wasteful number, since it uses less digits than its factorization.

4754977920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The square root of 4754977920 is about 68956.3479311368. The cubic root of 4754977920 is about 1681.5747139887.

The spelling of 4754977920 in words is "four billion, seven hundred fifty-four million, nine hundred seventy-seven thousand, nine hundred twenty".