4972470624 has 288 divisors, whose sum is σ = 16484622336. Its totient is φ = 1405071360.

The previous prime is 4972470623. The next prime is 4972470631. The reversal of 4972470624 is 4260742794.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 4972470624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4972470623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6839349 + ... + 6840075.

It is an arithmetic number, because the mean of its divisors is an integer number (57238272).

Almost surely, 2^4972470624 is an apocalyptic number.

4972470624 is a gapful number since it is divisible by the number (44) 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 4972470624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8242311168).

4972470624 is an abundant number, since it is smaller than the sum of its proper divisors (11512151712).

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

4972470624 is a wasteful number, since it uses less digits than its factorization.

4972470624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 4972470624 is about 70515.7473476670. The cubic root of 4972470624 is about 1706.8318645700.

The spelling of 4972470624 in words is "four billion, nine hundred seventy-two million, four hundred seventy thousand, six hundred twenty-four".