4758980160 has 224 divisors, whose sum is σ = 17351654400. Its totient is φ = 1092925440.

The previous prime is 4758980137. The next prime is 4758980201. The reversal of 4758980160 is 610898574.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 188781 + ... + 212499.

Almost surely, 2^4758980160 is an apocalyptic number.

4758980160 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 4758980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8675827200).

4758980160 is an abundant number, since it is smaller than the sum of its proper divisors (12592674240).

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

4758980160 is a wasteful number, since it uses less digits than its factorization.

4758980160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23769 (or 23759 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 4758980160 is about 68985.3619255564. The cubic root of 4758980160 is about 1682.0463725578.

The spelling of 4758980160 in words is "four billion, seven hundred fifty-eight million, nine hundred eighty thousand, one hundred sixty".