4764105920 has 224 divisors, whose sum is σ = 13694054400. Its totient is φ = 1543348224.

The previous prime is 4764105883. The next prime is 4764105967. The reversal of 4764105920 is 295014674.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4584761 + ... + 4585799.

Almost surely, 2^4764105920 is an apocalyptic number.

4764105920 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 4764105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6847027200).

4764105920 is an abundant number, since it is smaller than the sum of its proper divisors (8929948480).

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

4764105920 is a wasteful number, since it uses less digits than its factorization.

4764105920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 4764105920 is about 69022.5029972110. The cubic root of 4764105920 is about 1682.6500503878.

The spelling of 4764105920 in words is "four billion, seven hundred sixty-four million, one hundred five thousand, nine hundred twenty".