4971163680 has 432 divisors, whose sum is σ = 20167056000. Its totient is φ = 1111348224.

The previous prime is 4971163679. The next prime is 4971163693. The reversal of 4971163680 is 863611794.

It is a happy number.

4971163680 is a `hidden beast` number, since 4 + 9 + 7 + 1 + 1 + 636 + 8 + 0 = 666.

It is a super-2 number, since 2×4971163680² = 49424936666702284800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3315571 + ... + 3317069.

It is an arithmetic number, because the mean of its divisors is an integer number (46683000).

Almost surely, 2^4971163680 is an apocalyptic number.

4971163680 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 4971163680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10083528000).

4971163680 is an abundant number, since it is smaller than the sum of its proper divisors (15195892320).

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

4971163680 is a wasteful number, since it uses less digits than its factorization.

4971163680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 4971163680 is about 70506.4797022231. The cubic root of 4971163680 is about 1706.6823125465.

The spelling of 4971163680 in words is "four billion, nine hundred seventy-one million, one hundred sixty-three thousand, six hundred eighty".