4677511920 has 160 divisors (see below), whose sum is σ = 15383872512. Its totient is φ = 1171623936.

The previous prime is 4677511919. The next prime is 4677511931. The reversal of 4677511920 is 291157764.

It is a happy number.

It is a congruent number.

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, 3030669 + ... + 3032211.

Almost surely, 2^4677511920 is an apocalyptic number.

4677511920 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 4677511920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7691936256).

4677511920 is an abundant number, since it is smaller than the sum of its proper divisors (10706360592).

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

4677511920 is a wasteful number, since it uses less digits than its factorization.

4677511920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2319 (or 2313 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 4677511920 is about 68392.3381673708. The cubic root of 4677511920 is about 1672.3928455059.

The spelling of 4677511920 in words is "four billion, six hundred seventy-seven million, five hundred eleven thousand, nine hundred twenty".