4756561920 has 896 divisors, whose sum is σ = 20383073280. Its totient is φ = 1038090240.

The previous prime is 4756561913. The next prime is 4756561963. The reversal of 4756561920 is 291656574.

4756561920 is a `hidden beast` number, since 4 + 7 + 5 + 6 + 5 + 619 + 20 = 666.

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, 206807029 + ... + 206807051.

Almost surely, 2^4756561920 is an apocalyptic number.

4756561920 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 4756561920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10191536640).

4756561920 is an abundant number, since it is smaller than the sum of its proper divisors (15626511360).

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

4756561920 is a wasteful number, since it uses less digits than its factorization.

4756561920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 4756561920 is about 68967.8325018265. The cubic root of 4756561920 is about 1681.7614178792.

The spelling of 4756561920 in words is "four billion, seven hundred fifty-six million, five hundred sixty-one thousand, nine hundred twenty".