4972631664 has 480 divisors, whose sum is σ = 18298828800. Its totient is φ = 1126794240.

The previous prime is 4972631639. The next prime is 4972631669. The reversal of 4972631664 is 4661362794.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4972631669) 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 95 ways as a sum of consecutive naturals, for example, 11867647 + ... + 11868065.

It is an arithmetic number, because the mean of its divisors is an integer number (38122560).

Almost surely, 2^4972631664 is an apocalyptic number.

4972631664 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 4972631664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9149414400).

4972631664 is an abundant number, since it is smaller than the sum of its proper divisors (13326197136).

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

4972631664 is a wasteful number, since it uses less digits than its factorization.

4972631664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 474 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 48.

The square root of 4972631664 is about 70516.8892110252. The cubic root of 4972631664 is about 1706.8502903693.

It can be divided in two parts, 4972 and 631664, that added together give a palindrome (636636).

The spelling of 4972631664 in words is "four billion, nine hundred seventy-two million, six hundred thirty-one thousand, six hundred sixty-four".