4760138880 has 1024 divisors, whose sum is σ = 21150720000. Its totient is φ = 987807744.

The previous prime is 4760138869. The next prime is 4760138881. The reversal of 4760138880 is 888310674.

4760138880 is a `hidden beast` number, since 4 + 7 + 601 + 38 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4760138881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 80680291 + ... + 80680349.

It is an arithmetic number, because the mean of its divisors is an integer number (20655000).

Almost surely, 2^4760138880 is an apocalyptic number.

4760138880 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 4760138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10575360000).

4760138880 is an abundant number, since it is smaller than the sum of its proper divisors (16390581120).

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

4760138880 is a wasteful number, since it uses less digits than its factorization.

4760138880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 4760138880 is about 68993.7597178180. The cubic root of 4760138880 is about 1682.1828767769.

The spelling of 4760138880 in words is "four billion, seven hundred sixty million, one hundred thirty-eight thousand, eight hundred eighty".