4972181760 has 1440 divisors, whose sum is σ = 23933048832. Its totient is φ = 955514880.

The previous prime is 4972181701. The next prime is 4972181761. The reversal of 4972181760 is 671812794.

It is a happy number.

4972181760 is a `hidden beast` number, since 497 + 21 + 81 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 (4972181761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 160392945 + ... + 160392975.

Almost surely, 2^4972181760 is an apocalyptic number.

4972181760 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 4972181760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11966524416).

4972181760 is an abundant number, since it is smaller than the sum of its proper divisors (18960867072).

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

4972181760 is a wasteful number, since it uses less digits than its factorization.

4972181760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 4972181760 is about 70513.6990945731. The cubic root of 4972181760 is about 1706.7988124674.

The spelling of 4972181760 in words is "four billion, nine hundred seventy-two million, one hundred eighty-one thousand, seven hundred sixty".