4972423680 has 640 divisors, whose sum is σ = 20741529600. Its totient is φ = 1105477632.

The previous prime is 4972423661. The next prime is 4972423691. The reversal of 4972423680 is 863242794.

4972423680 is a `hidden beast` number, since 49 + 7 + 242 + 368 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 20805001 + ... + 20805239.

It is an arithmetic number, because the mean of its divisors is an integer number (32408640).

Almost surely, 2^4972423680 is an apocalyptic number.

4972423680 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 4972423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10370764800).

4972423680 is an abundant number, since it is smaller than the sum of its proper divisors (15769105920).

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

4972423680 is a wasteful number, since it uses less digits than its factorization.

4972423680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 4972423680 is about 70515.4144850613. The cubic root of 4972423680 is about 1706.8264932786.

The spelling of 4972423680 in words is "four billion, nine hundred seventy-two million, four hundred twenty-three thousand, six hundred eighty".